I've been homebrewing for about a year and a half now, just about 20 batches done. Midwest makes some really good kits, and that's how I started- the instructions are fairly good and you can make some tasty brews, even from just a simple extract kit.
After 5 or 6 batches, I switched to making all-grain beers- the ingredients are cheaper, it makes better brew, and you feel more like a brewer turning grain into beer. Homebrewtalk.com is a great resource; that's where I learned about the process and got ideas to build the equipment on the cheap. I currently use a converted 10-gallon Rubbermaid water cooler to mash the grains (you can find a how-to and parts list on HBT.com) and a turkey fryer to boil outdoors- it keeps the house from smelling like hops and barley, and is a great excuse to sit outside with some buds and drink beer.
If you get serious, I highly recommend getting into kegging. It saves you the biggest asspain of the whole process (bottling), and there's nothing like coming home to a couple of your own beers on tap. I have a mini-fridge I converted into double-faucet tower kegerator, all for cheaper than a commercial kegerator would have cost me.
My biggest advice is to be patient with it, as tough as that may be sometimes. You can rush the process and still make decent beer, but an extra week in the fermenter will do wonders. Any questions feel free to ask!