Getting a PSP soon

Hello,
I will be coming into a PSP in the next couple of weeks and have a couple questions about running homebrew software.

Though I will use it around the house, I’m guessing that I will mostly use it when traveling to play PSP & PSX games, hold emulators, movies, and maybe an ebook or two.
My question, then, is which is better to get for those purposes: one of the older fat models or the new slim models?

Also, is the 3.71m33-3 firmware the best option out there? I’ve been searching several forums and that seems to be the most suggested option out there.

Thanks for your help.

Yes, that's the best custom firmware available :)

hopefully by then we should have 3.80m33

Best would be a phat psp (as its easier to find working apps for it and also runs 1.5 kernel so no need for hbrew eloaders) with prob 3.71m33-4 cfw with 1.5 patch. or as said if 3.80 m33 is out then that would be best :) . If you're buying it from new make sure you check fw version as anything over 3.50 cant be downgraded (unless you use a pandora battery and stick). Hope this helps you