Hi,
I took a look at your save, and you seem to be doing quite well.
You have 2 options here - invest in infrastructure development or go for war quickly. Cathrine doesn't have longbowmen yet, so trebuchet and macemen will eat her cities for breakfast. I would personally wait, because your current land has already put you in a tech lead and going to war may leave you behind, but that is more a matter of a style of play then a specific advice
With all these wonders you are definitely in a lead, I would spend a while developing current cities before switching to war mode.
A few comments regarding how I would do things:
1) You are philosophical and have the pyramids. You are not financial. Run mainly specialists.
2) Literature has a much higher priority than Divine right. The GL is still up for grabs and it is one of the best wonders for a philosophical leader with pyramids. Even if you miss it, national epic is important.
3) Boston should have mainly farms. NO cottages. and spread irrigation to the rice for additional +1 food. Boston should not build army. it's not a production site. It should run specialists or whip infrastructure (market).
4) New York:
- dont run cottages.
- Don't work plains. Farmed plains just suck. Until biology ignore them. treat them as desert. New York should farm over its 2 cottages, and get irrigration to the corn.
With 2 grassland farms, irrigation to corn and pigs you have 18 food for 4 tiles which is great. It will support a size 11 city.
The rest of the citizens should just work mine OR be specialists if you need a research boost (NY can run 7 specialists !!! with farming).
NY should be you unit builder and future Heroic epic city as you seem to be doing.
I would immediately build 4~5 workers in NY for the farming projects of NY and boston.
Also, you are currently in organized religion. You better build most of your army while in theocracy, but you may prefer to go to war now, since Cathy doesn't even have constrution she will get crushed like a bug.
5) Washington
This is the only place where cottages are somewhat ok, because you are running bureaucracy. However, being philosophical with the pyramids I would still run farms and specialists. You still get the bureaucracy's hammer production to your wonders, which is huge.
You specialized wahsington as you wonder city, which is good. Personally I would go for the apostolic palace instead of Notre Dam, because most of the world is jewish and you have good friends so a good chance to be leader. You could also pull an early religious victory after you get 1~2 vassals.
Market is a priority here. You make 46 gold here, and market would add 25% to that,but I would only do it if there are no wonders to build.
6) Atlanta - I would have placed it 1NE, settling 1 tile away from cost is rarely good. But now you can't change it, so work with what you have.
Cathrine has stolen your main food source and has pretty strong culture there. This city will not be great until after you conquer her, but you can still make the bets of it.
You are working 3 plain farms but not working the gold mine? You are working a citizen specialist when you could have been working a gold mine or run a scientist?
I suggest that you turn on citizen automation for that city. I don't see a need to micromanage every city in your empire, just the big main ones.
I would focus the city on food. Grassland farms, gold mine, specialists. Don't worry if the city doesn't grow. There is no reason to work plain farms just for the city to grow. Every population costs you maintenance and it's not worth it for the extra 1 hammer to grow.
I would work 3 grassland farms, gold mine and 2 scientist in that city. It will starve to population 6 and stay there, but will still bring you more income than it costs.
7) Seatle, philadelphia and Chicago - whip whip whip.
These are small cities that need quick infrastructure. You have 6 happy faces above the cap. Whip everything whenever population is high enough. Focus your small cities on food as much as possible. Work the tiles the will bring you the most food.
For small cities, whipping with organized religion gives you 37 hammers per pop, which is huge compared to conventional hammers. Food is much more efficient so use it whenever possible.
8) Los angeles - this is a garbage city designed to get furs. I would settle it 2W to make it coastal , so you can benefit from the great lighthouse. Don't spend too much time trying to develop it. It will stay garbage for the entire game.
9) San francisco - have your workers farm it. When the city is small it needs to grow fast with whipping.
In summary, this is what I would do now:
1) Build 4~5 more workers in NY. Convert NY and boston's cottages to farms, and make sure to spread irrigation to all food resources. Shift current workers to work on the big cities first.
2) Trade civil service with Mansa for philosophy (he wants some gold too, give him). Trade it to Charlie for feudalism. They both don't have theology, so I would take a shot at the apostolic palace.
3) Tech paper and education, and then liberalism until 1 before last turn. Make sure to check when other AI's can research liberalism. If they already have education and philosophy try to focus your espionage points on them. If you can see what they research , good, if not don't take the risk and tech liberalism for the free tech. On this level you should be able to get a good expensive free technology for it.
DON'T trade education to anyone.
4) Washington should try the apostolic palace while the workers convert your cottages into farms.
5) Once the apostolic palace is build (even if not by you) remember that every jewish temple and monastery gives +2 hammers to the city, so make it a priority in the small cities. +4 hammers in a small garbage city is a lot (whip if of course).
6) After the AP you choose a path - war now or war later.
War now: tech guilds, switch to theocracy and build an army of trebs, knights and maces.
War later: switch to pacifism and caste system. Run as many scientists as possible in Washington, and Boston and New York. You should get many great scientist. You could build an academy in Boston and settle some in Washington, or you could use them to bulb technologies, but it probably not very efficient at this level of play.
Peacefully tech to rifling and maybe also steel, and then switch to theocracy. Try to get a great merchant and send him to a mission to get cash for mass upgrade of macemen to rifles (make sure to get city raider 2 to macemen before upgrading, since it is not available to rifles).
In any case, you seem to be doing pretty well regardless and can probably win this game without my advices
EDIT: I noticed you have a Great Prophet that was born in New York. You could build the Confucian holy temple, but personally I would settle him in Washington to get faster wonders and cash (+2H +5 commerce +3 science).