I have both, and if you want something to play and have fun with, I'd suggest the DS.
I use my DS a lot and I have bought lots of games for it lately, I guess the only cach is that the games are pretty easy played in general, so it don't take too long to finish a game (though, many of them are so fun that I've replayed them
). Then again, there are games for the DS that I think is markedet more towards older people such as ace wright (which is not my personal cup of tea) etc. And not to mention that they're releasing a Zelda game for it later this year
Otherwise, my DS is sturdy and it has been with me many places and I've lost both mine and my friends' DS in the grounds before without them being injured in any way.
I got the PSP mainly because of the two GTA games that were released for it (which are also available on PS2 now) and then to use as a media player (I bought a 2 GB memory card for it) as I'm too lazy to lug around my laptop that I have to take it in and out of my purse all the time, so therefore I thought it was a good idea to get a cute, pink PSP (that also takes less space than a laptop, lol). I still haven't gotten around to upload movies to it, but based from what I've seen while gaming, the quality isn't really that bad. I have to admit, I think the music sounds a bit low even while played at the highest volume - at least I didn't hear much when I used it on the train, so that might be a good idea. Though, I'm on my second PSP now because my first one died inexpectedly (aparently, it was a factory defect, but still), so I don't feel safe "abusing" it the same way that I do with my DS out of fear that the PSP I have now also will break. Otherwise, if you decide to go for the PSP, I'd suggest waiting until the new version hits the stores.
so basically, to clear my head, I made my own little list of pros and cons with both based on my own experiences and priorities - I hope that's all right
DS (lite)
+Lots of entertaining games
+Cheap (at least compared to the PSP)
+Sturdy - they're designed for children to use
+ZELDA:the phantom hourglass!!!!!!
+The screens and the fact that one of them is a touch screen!
-Games can be a bit too "easy"
-I don't know about the other ones, but I have the black ones, and it get stained with fingerprints all the time, which is pretty disgusting
PSP
+The GTA games
+It's possible to use it to watch movies and listen to music (and view photos)
+It looks pretty darn cool with the widescreen
-It's pretty pricey
-it feels a bit voulnerable compared to the DS (as said, I've had to have one replaced already - and that was after owning it for about nine or ten days)