on another note there must be some kind of rabbit trap available
might not work out if there expensive (the money could go to a gun) but if you can get them cheapish its worth a go
its amazing what boredom will do to you
ebay £10 a pop
http://cgi.ebay.co.uk/RABBIT-TRAP-C...vr_id=&cguid=cee3ccc91280a0aad3e0c9f0ffeea345
if you dont use ebay, primrose at £12.45 a go
http://www.primrose-london.co.uk/rabbit-cage-trap-p-2946.html?source=googlebase
The main problem with cage traps for rabbits at this time of year is getting them in there, there is so much food around for them at the moment that baiting the traps won't work. As has been mentioned you would need a lot of traps to catch just one rabbit.
Snares are a very efficent way of catching rabbits, setting the snare in the rabbit run means the rabbit brakes its own neck as they are moving at speed, if not they will try and make themselves invisable.