Here is a link to an excellent Top Bar Hive beekeeping forum:
http://www.biobees.com/forum/index.php
I was going to start keeping bees in a TBH, but got a whole hive of bees in a National on Freecycle, so I've been plunged in at the deep end (definitely not complaining though!).
It's really not that complicated, it's probably like learning to walk or ride a bike - reading about it makes it sound impossible, but having someone to keep an eye on you and give you advice makes it all very possible.
Local beekeeping groups are generally very helpful and keen to teach beginners. They are also a good source of cheap/free equipment.
As long as you are careful about siting the hive they shouldn't annoy the neighbours - stings are very rare, but if you face the hive entrance out over the neighbours garden and they are in the flightpath it could worry them. Also, be aware of their washing line, bees are very tidy and won't poo in the hive so take cleansing flights. Your neighbour won't want all that over their washing!
Even if it's too tricky to keep them in your garden, many beekeeping associations have an apiary where you could keep them instead. Failing that, a local orchard/landowner or sympathetic gardener would probably welcome them.
You're starting at just the right time - you could spend the autumn/winter learning about it and collecting the equipment you need so you'll be all set for spring.
One thing - don't be in a hurry to get bees in the spring, there's usually a rush on and the price goes up. Wait a while, and once the swarms are out you could have 1, or 2 or more much cheaper.