As others have said, American configured hand held power tools (not 3 phase stuff that perhaps MikeJhn thought you were describing) run fine through a 220V to 110V transformer. I have several such tools, e.g., routers, planers, circular saw, various sanders, angle grinders, etc that I bought when I lived in the US and I run them all through transformers. I'm so set up for 110V tool usage now that whenever I have to buy new power tools here in the UK I get the 110V volt version rather than the 220-240V version.
One possible advantage is that 110V power tools do seem to be rather less attractive to both thieves, and to those that would normally like to borrow them (and return them damaged), especially if you're not willing to lend the transformer to go with the tool(s). Refusing loan of the transformer is quite easy - just say you need it to run your other 110V kit, whether that's true or not, ha, ha. Slainte.