Hope Phoenix is helping you sort some things out, Alie. I keep thinking about your predicament, and have just read your previous threads on this. 
At least those dogs should not be able to get out now - I am surprised they get any deliveries if they bite visitors.
As for the others, I don't know what the answer is, but feel strongly that you should not be forced out or have to accept a lower price for your house because of them. However, if that would bring you peace of mind it would perhaps be preferable.
I have visited two gardens recently where next door neighbours have a jungle. One has a very old lady next door, the other house has nice neighbours who say they will clear it, put fences up again but never do. At least they removed a rapidly growing tree which was growing about 2 feet from both their houses.
We used to have a neighbour who left their dog outside to bark non-stop all day. They did move in the end thank goodness. We have another who leaves a little yapper outside to squeal non-stop, not so bad since DH had a quiet word (although she doesn't speak any more).
If you do decide to move ask at least 3 estate agents for their views, don't just take the word of one.
I wish I could offer more advice but don't know what to say except to offer sympathy, stay there if you don't want to move, look after your own place and I hope there is a big fence between you and them.