I have to disagree. The PSP is a lot better than the DS.
The graphics are 10x better on the PSP, and the PSP does not require modding to play music, watch videos, go on the net, or view pictures (which, I agree, don't mean squat).
The PSP is also completely customizable as far as the icons and backgrounds go.
While I do admit that Pokemon Diamond/Pearl/Platinum, the Final Fantasies, the Tales games (which are only in Japanese, which kinda sucks), and Kirby make the DS a must-have system, the PSP also has many games that are just awesome. Just a few of the great games for the PSP would be: Tales of the World Radiant Mythology, Tales of Eternia, Valkyrie Profile Lenneth, Dragoneer's Aria, Jeanne D'Arc, Final Fantasy VII Crisis Core, and God of War Chains of Olympus.
The PSP can also link up to your PS3 system, and, when you mod the firmware, can emulate almost any system.
In all, I definitely say that the PSP is better.