I did have this very thing happen. Young couple moved into the house next door with 3 dogs. She was a pregnant nurse. He was a VP of an S&L. Dogs were out all night. I couldn't sleep as they barked at everything, and I mean everything (i.e., a leaf falling, I think).
This went on for a few months every night. Finally, I was forced for the first time in my life to actually call the Police who went over there at midnight on a worknight and told them to cut it out. I let it go on so long even the Police chewed me out for letting it go on, but, being from the Midwest, I was trying to be "neighborly" and not complain. Can we say "never again."
However, this went on and on and on. The Dispatcher of HPD even said it sounded as if "those dogs are in bed with you." That's how loud they were.
Then--after they would no longer answer their door a few times to the Police and numerous calls to HPD by me--the Police told me they had done all they could, and I HAD to take them to Court to get anything done.
I took them ultimately to Court 3 times (maybe 4). Their fines kept going up each time (i.e., $50, $100, $175). And, finally, they moved out (they were renting).
They were such pigs, which I didn't know until the repairman came to fix their damages, that the yard was so infested with fleas that the poor guy was so eaten up he threw out chemicals to kill the many, many fleas.
And that, dear readers, is the sad story of the only time I have ever had to phone the Police on a neighbor. The end.
Personally, I almost think I would move if I were you. It was stressful on me, I got no sleep hardly many worknights and just was a totally trying experience. Why go thru that? I owned my home, and couldn't move without losing too much money. Life's too short to put up with that. Been there, done that.