Cheapest movers USA to UK

Hello, I've moved internationally before, but I cannot seem to find a place like "shiply.com" to move my things from the USA to the UK. It's only a little bit (the rest that has been left at my parents' house) and was wondering if there's a bidding website for moving things. I don't have an exact date or anything, as the things have been living at my parents' house for about 8 years now. :)