photobucket is the only one I have found that you don't have to sell your soul of personal info to, like Picaso, etc. i.e any site that I have to sign in with a google account I stay away from. :R
Just go thru each and every page of photobuckets preferences and make sure you click private for everything or some kid will lift a pix from you.
I have had all my pictures on Photobucket since 2005. Only problem I had is when they upgraded their site for all the stupid glitter and moving everything kid stuff and it was hard to find my pictures. Someone on the forum showed me how to go back to the old style.