If u want better graphics, bigger screen and online support and gaming i say get a psp over ds!!!

If u like real games more then flashy colored childish games i would also suggest a psp.

With psp u also get to watch videos, listen to music and guess what, u have internet!

The PSP uses a 333 MHz MIPS R4000 (32-bit) CPU, a GPU with 2 MB onboard VRAM running at 166 MHz, and includes 32 MB main RAM and 4 MB embedded DRAM

DS uses Two ARM processors, an ARM946E-Smain CPU and ARM7TDMI co-processor at clock speeds of 67 MHz and 33 MHz respectively and has 4 MB of Mobile RAM

So its:

     PSP                 vs         DS

333 MHz CPU         vs     67 MHz CPU

with 2 MB VRAM

32 MB RAM            vs      4 MB RAM

4 MB DRAM            vs     O MB DRAM

So all u who want to get DS instead of PSP go shoot yourself!