Heh, I've been struggling with trying to convert to warmongering - early game is going ok though so I want to mention:
Another option instead of abandoning is, if you've scouted well, you're confident that there's only one resource (or the multiple are close enough for you to get to quickly) and especially if you have an early mounted unit that can rush to it - just go destroy that resource and camp it with a couple of units. Of course if your own resource is near a border, you'll want to the same with yours to protect it.
With regard to this, or getting behind in techs. It often works out better for me if, instead of a quick annihiliation, I leave the opponent with one city (that isn't their capital - they seem to take that whole capital loss hard and it softens them up) then trade them, well, all of their researched techs to leave them alone for 10 rounds.
This does 2 things: It buys ME time to heal up my units/get the reinforcements to the front line. It also essentially puts me ahead of a lot of the other civs in techs as I've got a lot of the early military ones and now some of the builder/religious ones as well. If I just wipe them out I have to research that myself. So maybe even if you can't take them out quickly, make sure you ask for a LOT to leave them alone (I was stunned at how much they're willing to give away at that point. I realized I wasn't asking nearly enough when I first started with this.)
Then, with all your units healed and ready and the cap city out of revolt, the cease fire ends and it's pretty quick to just take that last city. Seems like only very rarely is the civ able to get a settler built and settled by then - usually I kill them with mounted units while the stack is after the last city.
Course these comments may be a little more detailed or ahead in era than you want for a quick guide to early gambits.
If your opponent is Protective, or switches to Slavery and has copper in his borders, you should strongly consider changing targets or abandoning this gambit.
Another option instead of abandoning is, if you've scouted well, you're confident that there's only one resource (or the multiple are close enough for you to get to quickly) and especially if you have an early mounted unit that can rush to it - just go destroy that resource and camp it with a couple of units. Of course if your own resource is near a border, you'll want to the same with yours to protect it.
Costs: You must dedicate your entire empires research and production to swift victory. If you fail to achieve a timely victory, you will have lost substantial ground to the non-warring civs in the game.
With regard to this, or getting behind in techs. It often works out better for me if, instead of a quick annihiliation, I leave the opponent with one city (that isn't their capital - they seem to take that whole capital loss hard and it softens them up) then trade them, well, all of their researched techs to leave them alone for 10 rounds.
This does 2 things: It buys ME time to heal up my units/get the reinforcements to the front line. It also essentially puts me ahead of a lot of the other civs in techs as I've got a lot of the early military ones and now some of the builder/religious ones as well. If I just wipe them out I have to research that myself. So maybe even if you can't take them out quickly, make sure you ask for a LOT to leave them alone (I was stunned at how much they're willing to give away at that point. I realized I wasn't asking nearly enough when I first started with this.)
Then, with all your units healed and ready and the cap city out of revolt, the cease fire ends and it's pretty quick to just take that last city. Seems like only very rarely is the civ able to get a settler built and settled by then - usually I kill them with mounted units while the stack is after the last city.
Course these comments may be a little more detailed or ahead in era than you want for a quick guide to early gambits.