The Cinci #2 T&C grinder is a pretty solid chunk, but it has a pretty wide base and the weight is low (not as tippy as many machines). The designed lifting location is to run a couple bars through the provided holes in the casting. For moving one of these machines around, a floor jack works great. The Cinci T&C grinder actually moves pretty readily, it is not crazy heavy (2000-2500#) and with the wide base and low center of gravity it handles well.
I did my first "Cash to move" on my VMC, it was about a 15 minute drive - cost was $2500. That included the extract, load, transport, deliver to final location in the shop (the weight was ~#9000). Basically you have to pay by the hour - 2 guys, the truck and the machine that does the move, which in my case was a forklift. In order to get to where I live, I also had to pay their travel time out and back (another 4 hours).
I usually go the "move it myself" option. However with the VMC, a condition the seller put on the sale was that I would use a professional mover (to get it out of the seller's facility - after that he did not care, obviously by then I had paid 90% the cost of the complete job). When I look back on it, the $$ was well spent. The pros can do a great job.
You may not have to pay as much travel time, but you ought to figure there will be a minimum cost plus an hourly cost.
Let us know how you make out.