You are indeed in a position where it would be easy to feel that you are not in control.
Having a baby is a life-changing experience and that is enough to cope with already.
Moving house is one of the three most stressful things that can happen to any person, and that is added to the stress of the pregnancy.
Just with the baby and the decision to move into your own place you have enough stress.
On top of that there are too many people in this relationship. Any decisions that you and your boyfriend make should be a decision that the two of you talked through until you get to the point where you are both comfortable with your decision, and where neither of you feel that you want to re-think or change the decision.
It is quite understandable that your mother and his mother want to help you make the decision.
However, they can only advise, and then they both have to step back and respect your privacy and the fact that they cannot make decisions about your life. You can listen to their advice, but then it is for you and your boyfriend to discuss everything and to make a decision that the two of you feel comfortable with.
If you tell the mothers that you appreciate their advice but you would rather make their own decision, they will probably both feel hurt, but they will get over it and realize that you are adults and you need to make your own decisions and stay with those decisions.
It is important for both the mothers to be involved with the baby, but this has to be on your terms - you and your boyfriend have the primary responsibility for the baby. You will just have to be firm with both the mothers on the same terms. Whatever you do, place your relationship first, because you and your boyfriend will need each other's support long after you have moved in together into your own place and become parents.