Can any tyre shop replace tyres fitted to centre lock wheels? Or are special tools required?

 

As long as you have the correct sized "socket" and leave that with them, it should be no different that having a security lug nut installed and the need for the proper "socket" for that.

Now, you just need to pick a shop that you like and that you feel will not scratch you rim on thier tire changing machine.

I would not let just any wrench monkey work on them due to the replacement cost... but the process of removing and installing the tire does not vary.