I got started with a 5 gallon "better bottle", the "bottling bucket" I got from a LHBS (and associated tubing, racking cane, and filling tube), one of those bottle sanitizer things (can't remember the name of it.. you fill it with water and starsan, it does an instant sanitize rinse on your bottles), and an extract with steeped grains kit from Northern Brewer. Another item that I found immensely useful - something called a "wine thief". Helps you grab a small amount of brew from the carboy to test it with your hydrometer to check the gravity.
Northern Brewer is an awesome vendor with great customer service. as is Midwest Supply. Definitely get a hydrometer - it's one of THE most important tools a homebrewer can have in their arsenal. As far as brew kettles are concerned, you really only need a 5 ga. to get started if you're doing extract batches.
Also, become familiar with your town's water supply. If they add chloramines to the water, you'll want to pick up some campden tablets (they help remove chlormanes).
I'd also add - there is absolutely nothing wrong with using Coopers carb drops to carbonate your beer. When I first started out, I found adding the "right amount" of priming sugar to be a pain in the butt, so I just used the carb drops.
The rest is up to you. Brew what you like. Start simple. Get used to the process, and you'll be a happy brewer in no time!