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I prefer the Nintendo DS, because of its luuuuurrvly touch screen.
Also, Wi-Fi is way more practical.

Nintendo DS all the way!! They already got great games like:
Super Mario 64 DS
Kirby Canvas Curse
Metroid Prime Hunters
Sonic Rush
Mario Kart DS
And everyone knows a Zelda 4 swords game is coming out for the DS

I own a DS and I'm very happy with it... but the PSP.... droolio I'll have to get one.

I am pretty sure the PSP has Wi-Fi as well. but i would still go for PSP anyway

Dude, the DS should come out with a Super Smash Bros game. Like a remake of the N64 version with more characters and better graphics but I don't think it can do melee.