Ok short and sweet.
Theres alot of people who claim one console is better then the other.
I got a DS when it first come out.
I have around 19 games in total for it now, and there all top games.
I got PSP about a year ago.
I have 9 Games for it all together. All top games also.
The FINAL ANSWER!!!
THE DS WINS AGAINST A NORMAL 3.10PSP
A homebrew 3.10OE PSP EASILY WINS against the DS theres no comparison what so ever.