Flickr was the best photo site, not perfect, just the best. If you are a Pro customer $29/year it was unlimited. But they've been changing the interface to be tablet friendly and they have made it difficult to use and manage. It's broken in many areas and they are still changing it weekly. Very frustrating. And users have lost quick ways to access favorites, and links.
But it's now free with 1 terabyte of storage. I haven't had to deal with the ads yet, since I'm a Pro Account owner, but given the silly changes I will not be renewing.
Flickr has a big following and a lot of third party apps.

But what do you expect for free? Beggars can't be choosers. :)

Gmail offers 15 Gigs free to Google Drive per account. I wonder if there is an 'app' to exploit that. Or do we have to access Picasa Web?

I too have years and hundreds of photos on pbucket. Whenever they "UPGRADE" it goes down hill. All of my libraries were listed on one page. Not now. I will take the time to change.

Sorry I didn't read all the posts before this, just had to pile on.

Firewalls and port forwarding on your router are your friend here. Run your web server on a separate machine from where you store and work on your personal stuff, and set your firewall to limit access from that machine to other machines on your network.