How to get level 80 exotic armor with Corgi the Chloe (so PvE only):
Step 1. Figure out what stats you want.
Step 2. Find out which dungeons, karma vendors, and TP sets have those stats.
Dungeons: If you don't care about a matching set, run multiple dungeons that have armor with the same stats. For example, CM, HOTW, and TA all have Precision/Toughness/Condition Damage gear. Running each path once a day and you should have a set in like 3 days. Don't worry about the runes they come with since they usually aren't that great.
TP: If you're rich you can snag a full set of crafted level 80 exotics for about 12~15 gold depending on the demand on the stats you want. The equipment with the god names in them tend to be more expensive than the crafted stuff but have the same stats (with a few exceptions); only difference is they come with a rune you may or may not want and a different appearance so they aren't really worth it in my opinion. For example, heavy armor Draconic set will have an equivalent to the Rurik Gauntlets of Vampirism; only difference is they don't come with Vampirism runes slotted in and the Draconic helmet isn't silly.
Karma: Go zerging in Orr from 70-80 and by the time you hit 80 you'll have an extra 30k karma or so. Assuming you didn't spend all your karma previously you should have enough for one piece of armor! If you're not bored yet, go ahead and keep farming Orr for karma.
Assuming dungeon rewards get fixed by Monday, running dungeons is probably the cheapest, most time efficient, and most fun way to gear up if you can find guildmates to go with you or decent PUGs.. Of course, you can always mix and match. 84k karma isn't too bad a grind and will fill out 2 of your 6 armor slots with exotics. That leaves 4 more armor pieces to collect through dungeons or TPing. Also keep in mind that crafted exotics of a set tend to all be close to the same price (2~3g), Dungeon chest and pants are about 120 more tokens than the other armor pieces, but Karma armor all cost the same amount.
This site I saw on reddit also helps in deciding what armor you want as it shows what the armor looks like, which Karma vendors have what, and the different stat allocation on the karma stuff.
http://www.gw2armor.com/
Oh yeah, step 3: be best friends with Achtius if you want to run AC forever and ever.
As for exotic weapons and trinkets, you're on your own. :I