you could also check out a cheap 12-15in laptop for mostly just word processing and internet (probably $500-750)and then getting a nice desktop for $1750-2000.
just another idea. i'm not trying to sell you on getting a desktop but they're more stable and stuff.
if you only want a laptop then seriously look into that one i posted a little bit ago. at least 9 out of 10 people here will tell you that's better. A 1.83 Core 2 Duo is roughly equal to an AMD Fx-62 (not quite but very comparible.) I'd suggest going C2D for the processor (cheaper, more powerful, and more energy efficient)
i didn't even see your sig until now. You could also just upgrade that computer if you're able to bring it w/ you. You'd save a lot of money going that route even if you only use the HD, OS, Case and maybe the PSU.
Antec NeoPower 650W
Intel Core 2 Duo E8400 (w/ Arctic Freezer 7)
4GB DDR2-1000 G.Skill
Sapphire x1950 Pro 512mb (w/ V700)
250GB, 500GB and 1.5TB Seagate Barracudas (2.25TB total)
Fatal1ty XtremeGamer sound card *** generic TV tuner
Xclio 3060 case *** HannsG 22" monitor
XP Pro / Ubuntu 7.10 *** Razer Copperhead and Tarantula