I wish I could agree with you ref the dog pee! If that were the case, the three baby rabbits I could see this afternoon might have chosen to stay in the field on the other side of the garden fence - despite the various "efforts" of my two whippets to keep them away. As a previous poster has said, there seems to be nothing you can do to keep them out apart from wire netting fixed both above and below ground all round the garden boundaries. This, for me, is not an option not only because of the costs involved but also the various levels twixt garden and field area beyond.
Over the years I have had to learn to live with the problems which result from living on the edge of rabbit-ridden fields. The only rabbit-proof part of my garden is a small raised bed which does have chicken wire to protect it - the rest of it has bolt holes & rabbit latrines in the lawned areas, as well as several burrows in the shrubbery areas. I have found that even those plants which are suposed not to be favourite rabbit food will in fact be eaten - they seem to find any newly-planted stuff almost irresistible. They will even stand on their hind legs to nibble away at stuff in fairly tall terracotta pots. Some chaps come ferretting from September to March - and this helps quite a bit. During the last foot & mouth outbreak they weren't allowed access on to the land - and when they did start ferretting again they caught 406 rabbits, over six visits, within 200 yards of my house.
Until two years ago I had semi-feral cats which certainly kept the front garden totally rabbit-free. I never ever saw the cats in the fenced part of the garden where the dogs are free to run round - whippets seem to be "hard-wired" to chase cats and small furry things, so they had to be kept separate from the moggies' area. Since the last of the cats died, the rabbits have taken up residence in the front garden too.
So, if you don't want to resort to having to shoot the rabbits and don't want to have a dog - which wouldn't be free to roam in the way that cats can - I suggest a semi-feral cat or two might be one solution to the problem for you. If anyone else can come up with an utterly foolproof rabbit deterrent, I'd simply love to know what that is!