I recently experienced this w/ my 13 month old. You can start transitioning now especially if you know she's had dairy products like yogurt w/out problems.
My baby didn't like whole milk straight. I put it in a sippy cup - wouldn't take it! Then I put it in a bottle, nope!
So I decided to wean her off formula first, then wean her off bottle later. I mixed formula and whole milk in a bottle similar to WIC guidelines. Only took a couple of weeks to wean her off.
Still working on the sippy cup transition. She rejects milk from sippy cup because she has only gotten water/juice from it. So now during meal times/snacks, I only give milk in sippy cup so she can make an association. I give her juice/water in sippy cup during non-meal times.
I usually give her a bottle of milk before her naps/bed. So in a couple of weeks I will start using the sippy cup before the daytime nap. Once this is successful, I can work on transitioning her out of the night-time bottle.
I don't want to mess with her nighttime bottle yet because I really like the fact that she sleeps through the night (10 hours). To ensure sleeping through the night I make sure she eats a lot for dinner (around 5 PM then snacks again when the rest of family comes home around 6:30 - 7). AND has a bottle right before bed. If your baby cries at night resist the temptation to rush in. I always wait a minimum of 5-15 minutes before coming to her. She usually falls back to sleep! I would just explain to your neighbors that you are trying to get your baby to sleep through the night. They'll understand if you reach out to them. That's what I did to my (elderly) uncle who has the room next to my baby!