Also check out Washburn and Ibanez. Both have some decent beginner priced basses.
Depending on where you go, you might even be able to get a good deal on a Fender Standard jazz or precision bass And don't be afraid to look into b-stock. More often then not, its just cosmetics that make it a b-stock. And its the play and feel that matter more than the look.
Try online for some good deals. You usually can skip shipping costs and tax that way. It can be a good money saver. But, try to go into an actual store first and play the thing. Everyone has different taste in sound and feel. Don't be afriad to try a few out before you buy.
Finally, you'll also probably want an amp and a tuner, etc. So look into the starter packs. Ibanez and Squire both make decent starter packs that have everything you need to get started. If you continue to play, you can always upgrade to something better later. And by then you'll know more of what you like so you'll be a more informed buyer.