I moved to Canada some ten years back and asked the same questions as you are doing today.
You can run your tools here and most electricians can wire you up a 240 volt circuit where you need the sockets. But don't expect them to know the UK sockets and plugs, they don't. You will have to do that yourself.
Personally I brought some UK sockets with me and still use them now, with all my Bosch tools in my workshop. I also brought with me a long extension lead with UK sockets on it and put a plug on that for the US system of 240. It is still nice to have that fuse in the tool plugs, believe me.
I also bought some large transformers from Maplin. These convert the 120 v to 240v. These have been used to run an old none convertible CD player as well as my record turntable with it's old amp. The only problem here was the turntable had to be retuned to account for the speed difference, else weird music on some occasions. This same transformer is used to run my heavy duty Bosch drill with no problems, when needed, where there is no 240v at hand. My wife still has some of her newer, when in the UK, kitchen appliances she really did not want to give away for pennies. Plus an expensive sewing machine. She uses the transformers for these items. With all the tools I have plus the other equipment nothing has been harmed, by moving here
I was so reluctant to give away my large collection of quality tools as I suspect you are. Hope this helps you.