- Facebook - Private albums, but I never quite trust them with my privacy. Interface is tedious and buggy to use. Not geared towards organising lots of images. Upload limit not advertised.
- Photobucket - Private or password protected albums. Interface is not great as it squashes your thumbnails, has adverts and only shows a few images each page (mobile). 10Gb free, $30/year for 20Gb, more storage available.
- Flickr - 1Tb free. Pictures can be private, or shared with family. For pictures, this is very good. Uploaded video quality can be poor. Interface is great for uploading and organising many thousands of photos and video.
- SmugMug - $40/year for unlimited uploads. Advanced privacy/sharing system. They've put a lot of effort into it.
I recommend Flickr.