They are very beautiful cats and the young ones should adopt quite quickly if you can work with a rescue or sanctuary - have you contacted any? There must be some in your area since you live in a large city.

Cats as young as five months can become pregnant so with 3 females who are already four months old and 3 un-neutered males you could be trying to find homes for 3 young pregnant females just as you are trying to move.

Good luck in finding an organization who can help you and them by taking them in.