You can either look for a "white glove" mover or you can look at freight companies like XPO Logistics that do have a white glove option. I have found some BAD piano movers. Don't assume they are competent at something like this.
I would expect a cross country move with white glover service to be $5K+ if it is a nickel. If they have to provide crates...it will approach $10K.
I would expect a cross country move with white glover service to be $5K+ if it is a nickel. If they have to provide crates...it will approach $10K.