If you want to host your images free, you can choose from a lot of different sites to do that. Flickr might be best known, but Zoto is pretty impressive and has a lot of features. Where Flickr is meant more to use for integration, Zoto focuses on creation of galleries in different styles and such.

Thumbq is of a different caliber :

How much space can I use?
You can upload as many images to Thumbq without any space restrictions, as long as you comply with the Terms & conditions.

That's pretty impressive. Most sites have a limit on the diskspace you can use, even for paid accounts. Okay, besides diskspace, what else makes Thumbq better than others ? I could not say. But what they offer is more than enough. I like it a lot. The site looks simple, clean but yet nice. All options are there and selfexplanatory.
Go try them out. You won't be disappointed.