I visited Bletchley Park museum this summer when in London. Can recommend and it's also really easy to get there; just a 50 minute train ride from London Euston station, and 5 minute walk to the museum. Entire family enjoyed the museum (have two teenage kids). There is also the "National Museum of Computing" located next to it which contains the Bombe, Collosus and related equipment. As I understand it most (or all?) of the original hardware was destroyed after the war to avoid leaking any information about the British code breaking skills. Thus, the machines on display are replicas, but should be fully working.
The computer museum also exhibits post-war computers all the way to modern machines. I'd say that museum is more for the geeks while the Bletchley Park museum is definitely worth a visit even if you're not into computers.