Guild Wars 2

I was wondering which dungeon I should run for upgraded gear, or how to get better gear? (I rather not buy off the TP)

Which dungeon you run for gear depends on the stats you wish to get on your gear. You can find which stats you can get on which dungeon gear here. Do remember that not all stats are available through dungeon gear.

The other ways of gear acquisition are random drops, crafting it yourself, or the TP.

If you have a lot of karma saved up, you can get some good exotic armor from the karma vendors in Orr:
http://wiki.guildwars2.com/wiki/Equipment_acquisition_by_stats#Karma

Personally I find this the easiest way to gear up a new level 80 until you can grind dungeons or get all the materials to craft the stuff you really want. Note that the event chain must have been completed and the waypoint for each has to be uncontested for the karma vendor to spawn. What I did was just keep checking the map to see when they were available. Sometimes they get bugged though, and the event chains break (meaning that the karma vendor won’t spawn until they are fixed).

Stats aside, CoF p1 is one of the easiest, and AC is pretty easy overall.

What class are you? AC exp all paths is probably the easiest to do, then try CoF path 1.