Using a cash machine is free, for the majority of cases — those in banks, supermarkets, shopping centres, railway stations and so on are run by one of the banks and are free for customers of all banks to use. It doesn't matter if the machine or customer is with/is a major bank or a small one, they're all on the same network and charge the same: £0.
The exception is captive markets. Cash machines within a stadium, nightclub or a convenience store often charge. I've never used one of these, it's so easy to avoid doing so.