Dog bites are an automatic win in court. It's called strict liability. Doesn't matter if you approached the dogs, etc. Dog bite = guilty.
You can sue your neighbor.
I saw that you also posted in Milwaukee. I'm going to assume you are there. BTW, please add your location in your profile. It makes it easier to help you.
From my research, it looks like you can't sue the LL unless it's his dog, which surprised me. You might want to double check this with a lawyer to see if there's any liability on the landlord. Especially, now that he's on notice that the dogs are dangerous.
Wisconsin court concluded landlord not liable for injury
This website is a lawyer's website. Not sure if that's allowed? But I like it because it cites the law and explains it well:
Wisconsin Dog Bite Law
In case that link is deleted by the mod, here is the actual statute that explains what the dog owners would be liable for:
https://docs.legis.wisconsin.gov/sta...tatutes/174/02
The statute of limitations for dog bites in WI is 3 years according to another WI dog bite attorney's website I found. So you would have 3 years from the time of the bite to sue.
I found this brochure on laws regarding pitbulls in Milwaukee. It includes a phone number you can call. It's not very tough on pitbulls.
http://city.milwaukee.gov/ImageLibra...itbillV24b.pdf