You just need a plug converter and you'll be fine.
The main issue is when you take US stuff to the UK as our power is 110 or 120 Volt and theirs is 240. That equals exploded electronics. If you take a 240 only adapter and plug it into US mains, it just doesn't get enough power which in the case of a charger means very slow charging. Other cases, like say an alarm clock, probably wont work, but no exploding.
The power changer for the TyTn II should list 110-240 on it, which means get an adapter and you are fine.