The female has to be in a baby safe cage, but you can try to help with it feeling more at home. If you haven't already, you can try moving some of her old cage stuff into the new cage, hidy house, food bowl, toys, etc. That way the stuff in the cage smells familiar, some chins deal with change better then others, but she should calm down. Chins are territorial, females more then males, so being placed in an unfamiliar cage that doesn't smell like her (so in a chin's mind could be another animal's territory), especially if she is about to give birth, can make her feel unsafe. Just make sure once the kits are born that the mother isn't hiding from the kits on top of the house, if she is remove it then.
Also chins don't always show signs of being pregnant, and some show signs and aren't really pregnant, so it's hard to tell how far along she really is or if she is even pregnant at all. It's best to count from the last day the male and female were together, the average gestation period is 111 days +/-, so count 120 (so you know for sure it's past time) from the last time they were together. If no kits after 120 days she wasn't pregnant after all and can go back in a normal cage, (not with the male of course) if the cage she is in isn't going to be her permanent cage.
I would also read over the threads in the breeding section if you haven't already, to help prepare yourself for the kits. A lot can go wrong so it's best to be prepared, with a vet lined up and knowing what to watch for just in case.