Hi welcome! My female just had her first litter a little over 2 weeks ago, and it is just exciting to experience. A couple of things to consider is how well the mother is going to adjust to the changes in her life. She is going to want to keep her new babies protected but a move can be very stressful not only for her new babies, but herself. If she gets stressed it could impact her babies as well.
Another question to consider is how far are you moving them and how cold it may be. If the pups body temperature drops significantly, it can have very problematic results for the little ones.
I don't know a
whole lot about moving them that young, and I could be wrong about all this, but those are just a few things to that I would consider before doing anything.
The biggest suggestion is to talk to your vet and get their professional opinion about it all.
hope that helps.
Welcome again! It is a great place