Looking For A Gaming Console, What should I buy ? Options

[Chero]

Hi,

I'm not much of a gamer and thus I lnow nothing about it.
Now my kids want a gaming console and are asking me for advice cause "I work with computers" (doesn't everybody nowadays ?) and because I have a Zaurus (OK, not everybody has one).

Now, from what I found on the www, I could go for (ps1), ps2, xbox, wii, ... but then they are tied to the tele.
I more like Nintendo DS, PSP, ??? (any other choices ?) cause that way they can also use it in the car or while someone else is watching tele.

I keep on asking google some questions and it gives me loads and loads of pages, but what are the pros and cons of these consoles ?
I already found that Nintendo DS plays GBA-roms. Does PSP do this as well ?
PSP's screen has a higher res, Nintendo's screen seems to be better protected (clamshell).

How about the games and their prices ? From what I see the same games seem to be cheaper for Nintendo DS. Why's that ?

Can a PSP play PS1, PS2, PS3 games ? My three brothers own PS1, PS2 and PS3 so it would be nice to play their games ...

From what I know now, balance is going towards Nintendo DS.
Please comment or answer my questions,

From a complete gaming-noob in search for a gaming device,
Chero.

[snk4ever]

If you're not going to hack the PSP, then don't buy a PSP. A hacked PSP is a wonderful device but if you're not willing to hack it, get them a DS.
I owned both machines, I sold the PSP mainly because of the remanence of the screen.
I'd like to buy the new version someday (I heard the screen is better) beacause with a psp you emulate almost all gaming machines from the 8-16 bits area + the PSone and GBA.

The DS has just so many great games made for the DS and not emulated (and more are coming) that I would recommend this console if you're not interested in emulators of the PSP.