So here's the idea: I use multiple computers on an almost daily basis. I would like to be able to access my entire music library from any of those computers through the Internet. Is there a service or perhaps some software that would allow me to host my music "in the cloud", or in some other way access it from a different computer?

I've searched for something like this and the closest I've found is the Media Player application found in Opera Unite, but that requires my home computer to be turned on at all times, which is less than ideal. I'm willing to pay, but not so much that I could just rent a private server for a lower price.

Thanks in advance.