If you have a PDA you might be able to dl and use openchess (free). Commerical programs like HIARCS are great. Your phone may be a candidate as well--do a search.
Hand-held computer Chess

For Palm devices:
HIARCS
Chess Genius
For WinMobile devices:
PocketGrandmaster (highly recommended!)
PocketShredder
Pocket CT ART 3.0
I am looking for a hand held electronic chess for my 10 y/o.
He is a beginner but a bright kid. I have to concentrate against him or he wil beat me!
I have read costumer reviews on numerous games. Screen visablity seems a common complaint.
I like the idea of the hand helds with a stylus so he does not have to worry about losing pieces so it can be portable for him.
Are PDA such as Palm software better choices?
Any suggestions are greatly appreciated.
Thanks
Rob

I agree with RobCor that screen visibility and the design of the pieces should be looked at closely before purchasing any hand held chess computer. Below is the type of design I consider unacceptable for any chess-playing device, just take a look a the pieces:


In my experience Shredder plays the most human-like game. Some other software seems like it plays full strength for a bunch of moves and then plays a ridiculous move to give you back the material you lost. Not fun at all. I would consider this in your choice of hardware. I know Shredder works on apple and android hardware.
I am looking to purchase a hand held chess computer that I can take with me on trips and etc. and I was wondering what is good to purchase and why?