There is a lot of discrimination against English Bulldogs due to their slobbering drool and wide girth. Both of these traits are currently unfashionable in today's fashion climate. I would consider walking in such a way as to shield your dog from your neighbor's view, or consider adopting a greyhound, very much the anthropomorphic reality of a current US magazine cover.
Do send over the address and, if you like, the weight for your bulldog and I can cross check it. Some buildings put breed restrictions up (I've never seen restrictions on bulldogs specifically), however often there are weight caps.