Accoriding to your "PSP Firmware" it says 6.20. So unless your best friend irl is Alex, Yoshimiro, or Neon your pretty much screwed. For three reasons:

•6.10 exploit is yet to be leaked.
i)One may claim they have it, you download it and its a virus...
•It will take some time for the 6.20 exploit to be made when it is:
•It will also take a even longer time for that to be leaked.
i)One may claim they have it, you download it and its a virus...

I have a way to get CFW in theory but to carry it out you would need a friend with a modded PlayStation Portable.