I recently crate trained (and house trained) my older pup who had been living outdoors at someone else's house. It was easy, and no 'accidents' in the crate. She did wake me up one night with some quiet little barks and I took her outside. (That was her only accident in the house, she peed a little at the back door just as I opened the door to the back door to go outside).
Your dog, though, is still a baby and has limited bladder capacity and control. In my experience, puppies will sleep through the night when they are able to do so.
My own opinion is that except for special situations, teaching a dog to go outdoors from the very start is better than using pee pads, because some dogs have difficulty distinguishing carpet from pad.
Also, you used the word 'we' in your description. It might be an idea to have the other person take turns, while you are crate training, with any middle of the night puppy potty needs. That way, your pup can get used to being crated and you can get more sleep.
Your dog, though, is still a baby and has limited bladder capacity and control. In my experience, puppies will sleep through the night when they are able to do so.
My own opinion is that except for special situations, teaching a dog to go outdoors from the very start is better than using pee pads, because some dogs have difficulty distinguishing carpet from pad.
Also, you used the word 'we' in your description. It might be an idea to have the other person take turns, while you are crate training, with any middle of the night puppy potty needs. That way, your pup can get used to being crated and you can get more sleep.