Professional movers are experienced with moving things a whole lot more valuable, more fragile and even a lot heavier than pool tables. I would recommend getting a mechanic to break it down for the movers, label and box up all the parts, and to individually crate the slates. It's not like you're asking the movers to set it back up for you. Pool table mechanics are not likely to want to do the entire job including the disassemble, move and reassemble, unless both locations are within an hour or so of where the installer resides. In the case of a GC5, I'm guessing the price quote on that from a reputable mechanic would be approaching 4 figures.
DING DING DING, we have a winner!
I prefer not to move the slates at all. ESPECIALLY 9' SLATES> Longevity is the name of the game in the pool table business. I pay people to move them as much as possible. Not saying I don't end up having to do it, but, I am saying I prefer not to!
Trent from Toledo