I was able to update and keep both VHBL and use remote play, thank you!

Hi everyone. I currently have a PSP Slim with 3.51 and VHBL installed. Is there a special process to update to 3.6 without losing VHBL, or can I do it just through the Vita? Before I update, is there anything I should do? Can I install other programs into VHBL once updated? I want to use the remote ...