Equipment List

Your local home brewing shop will sell you what you need for home brewing, or you can order online. But the main components are:

fermenter - big plastic bucket with airtight lid
bottling bucket
siphoning equipment - racking cane, bottling wand, hose
hydrometer - to measure the specific gravity of your brew
measuring equipment - teaspoon to cup, thermometer, and a scale is handy
a big spoon
brew kettle - 20+ quart pot with lid. Mine has insulated handles, an added bonus
bottles, 22oz or 12oz non-twist offs, I hear flip top style bottles are nice too.
airlock for the fermenter
bottle capper and caps
cleaning supplies - bottle brush, bleach, bottle cleaner

You should be able to pick up all of this stuff for about $100. Mine even came with a can of pre-hopped malt extract for making my first batch of beer.

Additional equipment gets fancier and more expensive. $20 will get you a glass carboy (big jug), which some people swear by. I just bought one for lagering (cold aging). I have a pilsner in there right now, chilling in the basement fridge. Other equipment will get you into larger volume production, or all grain brewing which is supposed to give you more control on the final product. I'll touch on this topic another time.