I used Three Movers and they were fine. Sounds like you just basic A to B move so I'd go with the most affordable. That's how I ended up using them. They operate in Germany and UK so they might be worth a toss to see what they quote. Best of luck.
I think it's fine to have the option but I'm not a fan of it and do have some concerns that it will be forced in over time. Less mileage and it's not an efficient process to begin with.