That really sucks. You poor thing, I really feel for you. I'd definitely move before the baby arrives though too. We moved 6 weeks before DD2 arrived and it was really tough but we did it. Mum and I did most of the packing and all our family pitched in on moving day.

I'd avoid moving after the baby is born if you can because firstly, packing with one child to look after is hard enough (I've done it three times with kids, twice with just DD1) and secondly you just don't know what's going to happen with your newborn. DD2 had a tongue tie, annihilated my nipples which lead to an array of feeding issues and 7 weeks of exclusive pumping. She also had reflux. That thrown in with the usual newborn stuff and sleep deprivation, well yeah, moving wouldn't be easy.

Good luck hon. I'm so sorry this has been dumped on you unexpectedly.