If you were going the cold turkey route, as well as the shrubbery I'd add the suggestions to keep them shut in for at least 24 hours (better 48) before uncorking them (just don't cook them!) Ideal for when you have a bad spell of weather forecast! And if you can leave a box (nuc?) on the old site, it'll help you gather up the awkward squad who are stuck in their ways.
To move in steps, I'd suggest that you first rotate the hive until it is facing away from the necessary direction of travel (30° + a move of a foot or two each day). Then the hive can be moved backwards six feet (2m) or so, every decent flying day. It helps if the hive is 'obvious' -- you could move it slightly further across an open space. Standing out from the background is important. Move it less if there are bushes, sheds, etc that would interfere with the bees hive-recognition.
Putting the hive on a trolley makes the moving easier!
Moving it well away (3 miles, 5 miles, 20 miles ...) for a couple of months would be the quickest way of curtailing any nuisance.
But it should be possible to erect 2m high (or even higher) fences or netted trellis round your hive, so that the bees have to go up, before they go across, thus preventing problems with the beeline.
But moving the hive 40 metres isn't going to change much if your neighbour has something that the bees fancy, whether its a fuchsia bush, or a hot tub ...
Maybe your association could help you find a (temporary) out-apiary?
