So my advice - go watch some LPs (Immortal and Deity), even if things at the lower levels are a bit different, its good for understanding the basics - growth, specialist slots, micro menagement of citizens, trade routes, food caravans, science, culture, policies, war ....
Watching lower level LPs has no educational value.
I like watching Marbozir's Deity LP's, and he does go into detail about why things are done a certain way, HOWEVER it's worth emphasising that Deity early game strategies do not necessarily work on Prince and vice versa.
In Deity you -
1. Steal workers from CS, rather than building them. Doesn't work on Prince/King/Empreror because the AI city states take too long to build a worker, but with their insane production bonuses on Deity...
2. Prioritise grabbing and improving luxuries, and sell them to AI for cash. On Prince escpecially, the AI doesn't have two pennies to rub together, so improving wheat etc. might be a better idea.
... and both these factors have knock-on effects, which i'm not fully aware of!
There's not so many Prince LP around and they are generally made by less experienced players who don't go into the strategy or micromanagement so much.
My strategy for lower difficulties (just won a SV with Poland in 1931 on Empreror with that approach, probably had a good start though) might be called "Great Library Trampolining"
. It is definitely not a good idea on Immortal/Deity
1. Build Monument, go Liberty
2. Then settler
3. Free worker please from social
4. Build Great Library, make sure you have Calendar researched by the time the college is built so that...
5. You can pick Philosophy for your Free Tech from building that wonder. This moves you into the Classical Era and lowers the cost of other techs, and gives you a free Social policy as Poland...
6. Philosophy unlocks the building of NC, might as well do it now while you still have one city
7. Now start expanding, research drama and poetry next so you can make the jump to Theology afterward, now you're in the Medieval Era and it's not even turn 90..
8. Now backtrack and get the nice stuff like Civil Service etc.
On deity though you can't beat the AI to Great Library no matter what and you need to settle your cities quick or all the spots will be taken. So you might have 3 or 4 cities but only one or two libraries and no wonders, at the same number of turns you'd have one city with GL + NC on the other strat..