You can buy boxes from any of the moving companies - Crown, Qatar Logistic etc.

If you have the boxes but no-one to help you move you can hire a small truck at the souqs and I suspect that you could hire a couple of guys for the day. They used to park accross the road from the gold souq but that is all boared for renovations, but I cannot image they have moved far.

A word of warning though, your goods will not be insured.