Cheapest method to moving ≈ 2000 miles

Hello, me and my family are looking to move to a state that's a little under 2000 miles away, I'm looking at u haul and it's like $2400 for the studio/1 bedroom truck. I'd love to keep all our furniture and stuff without having to get rid of it, we don't own any vehicles so it's not like we can downsize our stuff and pack it in a car or anything, I'd love to keep the moving costs under $1000 if possible, if anyone has any ideas please let me know.