or allow some users using their google+ or facebook account?
Most Helpful Girl
Are you looking for an actual website with a domain name and everything or just want to share your photos for free? If you want a website, Squarespace is good, that's what I run my website on. But I think Wix allows you to make a site for free, but your URL would have. wix in it or something. Otherwise Flickr is a good one for free to just upload albums and stuff.
Most Helpful Guy
There's this one site I've heard of called flickr. :)