Google decided to yet again give the world a new service called Google Photos not to confuse this with the Google+ Photos. This new service is separate from the old picasa web, and the google + photos. The idea is great, all your images in one place, from all your devices. Now that I have a chromebook it makes sense. But interestingly, I need to use the web version of google photos, maybe in a future update the OS will have a new app for it.
This new service if you will does finally give a URL to share, which I will use to insert a picture here (for testing Purposes) NOTE: it doesn't work on blogger :S
I usually like uploading my images to my SmugMug account, which does give a shareable link that works just fine on my wordpress photoblog, and here on blogger. I like the fact that so many services are offering free photo storages, but not all are created equal. Flickr, SmugMug (this is not free actually), Google+ Collections, iCloud, Dropbox, OneDrive.
Be aware though even though they say it supports resolutions up to 16MPixel, I've yet to figure out how it's stored. As I upload via my browser on the chromebook, edit on my tablet. The resolutions are mixed, I believe that it downloads/edits photo's to the max of the system you use to edit it. So if I edit using my tablet, I get a 1920x1080. If I edit on my chromebook, using online apps, such as picmonkey, I get yet a different resoltion. If I use snapseed, or pixlr on my tab, I get mixed resolutions, I can't figure out how it decides/what size to edit/save as. I know I can manually save the file at a given size, but snapseed doesn't ask, with pickmonkey, and pixlr I save at max size, but I still get small picture sizes. Which is ok great for web sharing, I still want to have the full resolution incase I want to print. So experiment, try before you go full Google Photos. I'll probably stick to using my SmugMug storage for full size images, that stores it at real full resolution.
Just my two cents... happy to hear your experience.