There is a website I was led to when trying to figure out how to get my rescue dog out of her house and down to me. The website is uShip - The Online Shipping Marketplace - Ship Freight, Furniture, Vehicles or Moves
The whole Idea behind this, is you can word your post however you want. You can then look at a list of Pet Transporters registered with them, and request a bid. I did that, and someone I missed when doing that saw the post herself, and sent me a bid I could afford. This is a great way when you are moving and need them to follow you a day or so later, or when purchasing, rehoming, or sending a dog out of state, etc..