Kitz is easy to get to by train from several places, including Munich, which should have a direct flight from London Stansted via RyanAir. Munich airport has easy access by train (30-40 minutes) to the main train station (Munchen Hbf), where you can catch a direct train to Kitzbuhel. Travel time is around 2 hours. There are other trains that require a change in Worgl, which adds time and hassle. There are two train stations in Kitz - Kitzbuhel and Kitzbuhel Hannenkahm, the latter being located right by one of the main gondola lifts in the middle of town (the main station is not far away either - just be aware and get off at the right one).
One negative about Kitz - it is relatively low altitude so the snow is not consistent. This year they have had relatively little snow so far. Fog can also be an issue, especially later in the spring.
Other than that, Kitz is great - plenty of steep terrain - perfect for intermediates and advanced skiers. Beginners have much more limited options as the easier stuff tends to be narrow, flat roads that wind back and forth down the mountain.