..... told that lamps need adapter and new bulb only, true? .....
Lamps need a new bulb, and an adapter (if you are planning to stay for a long time it would be better, and safer, to remove the US plug and replace it with a British one), however you'll have to find British screw-thread bulbs. They
are available, but must British bulbs are "bayonet" fitting (press in and turn to click, rather like the top of say dishwasher liquid, or laundry softener), so you may want to consider replacing the bulb holder too.
The tools should work OK with a voltage converter, but unless your hifi is really top-notch, state of the art, I wouldn't bother bringing either of them with you.