Most stable CFW to use at the moment?

Hey guys I've recently decided to purchase a PSP after about 2 years out of the homebrew scene and I've got my new PSP downgraded to FW 1.5. Can you recommend to me what CFW version to upgrade to which is the most stable at the moment for running PSX/PSP backups and homebrew apps or should I just go for the latest version? Also can I jump straight to the latest or will I have to do it in many jumps. Thanks guys.

Just go for the latest M33 firmware. They are very stable. The most recent one is 3.90M33-3 I think. The download is here

the latest is 4.01 M33

now its 4.01m33-2 with a 1.50 add-on, yay!!!! just get that if ur afriad that homebrew and stuff wont work, then get time machine on that memory stick! XP