Google your local Landlord and Tenant board for info.... There is a section that deals with "Other tenants interfering with your reasonable enjoyment of your unit, etc"...or some words to this effect. Once you have found the proper wording your state/province uses (this is regardless of time, ex 10pm) write your landlord a letter including dates/times, how you have "tried" to speak with your neighbors etc... YOU do not have to move. It is your landlords responsibility to ensure that his tenants do not disturb other tenants. Your landlord can give them notice that he may proceed to evict THEM if they do not stop their actions. If your landlord ignores your requests, then you may go directly to the Landlord/Tenant board and file against your landlord for not protecting your rights. You may be entitled to a rent rebate and/or damages, depending on how you and your landlord have tried to solve the problem.
I just went through something similar, and I WON! Yes, you "can" move, but if like me, if you love your place,have spent time and money making a home, the rent suits your budget, and you do not want to go thru the hassle of moving (You are due in 2 months!!!), you do not have to. Sure, it is a hassle dealing with the landlord and if it gets that far, the L&T Board, but in the long run, it is less work than moving. WHY should YOU move? Who is to say that the next place will guarantee better neighbors. I have moved in the past due to horrible neighbors. This time, I said no! I am not going anywhere, it is my right to live in peace, and I pay my landlord to help me ensure this!!! Once your landlord is aware you know your rights, he will most likely help you. Just point out in your letter to him what the L&T Board states are your rights and the proper actions available to you!
Good Luck! And best wishes with the new baby!