Brewing with extract systems is great fun. It's easy to get started. Most of the actual brewing will take place on your kitchen stove to begin with (with your spouse's permission of course). As you progress and gather more and more equipment, and begin making more complex beers, you may decide to move outdoors. Eventually all homebrewers get kicked out of the kitchen. Relax, it just means that you are growing as a homebrewer. This is the first step, and a peek at what the all grain brewers already know, "outside is good". It's easier to clean up your messes, no one bothers you, you can have all your buddies over to talk and drink homebrew, and you won't monopolize the kitchen for a good part of the day.
If you are starting from scratch as a novice homebrewer, here is how to begin brewing with extract. First of all you'll need to buy or gather your extract brewing system equipment. One great source for all your extract brewing equipment is MoreBeer.com, they will have everything you need and more. These are some of the items you will need: Adapted from John Palmer's How To Brew
Here is some equipment that isn't mandatory but it makes extract brewing easier and much more enjoyable:
You can buy homebrewing equipment kits prepackaged from homebrew suppliers.
MoreBeer.com has some of the best and most complete Extract Systems available. I've ordered from them for years and I highly recommend their products.
To find an Extract Brewing Equipment Checklist from MoreBeer.com, Click Here.