I checked Photobucket and I have an old plan that is evidently "grandfathered" for now. We will just have to wait and see how long that lasts. They would have me upgrade to a much more expensive plan with a lot more storage, but I am only using 2% of my storage capacity as it is.
The IJN Carrier Liberation Force - "Because We Care" Join the IJNCVLF. Service Guarantees Citizenship!
So far it's working, but it looks like you get 30 days free. After that, I assume the account disables. However, they offer a discount on the first year and that makes it $18.99 for a year, much better than $39.99 a month (Photobucket's rate if you want 3rd party hosting)...
Did a little searching around and found this. It's called PostImage postimage.org/ and it seems designed just for our purposes. Here's an example. I need to play around with the sizing thing a bit but it does its job. It's FREE and it's Unlimited (see this FAQ postimage.io/faq.php).