Honey, realise that you are going through major change in your life - new town and a new job. Plus you're on your own, missing your pups, going back to temporary accommodation every night. Sometimes it's hard to keep everything going when there is so much upheaval.
I'm not saying that you should put your fitness goals on hold BUT give yourself a bit of a break. Don't panic. Your body is used to shift work so it will take time for you to get used to the regular 9-5. Ensure your meal spacings are even and consider carbing up at meal 4, before the workout, to help give you that extra energy - you'll adapt. As for the gym, go with your gut, but if you need more time to decide, relax and take it.
Most importantly, be kind to yourself. Your coping mechanisms are pretty stretched right now so try not to add more pressure. I know how you feel; I've moved many times and all I know is that it takes time to settle, unfortunately.
We're here for you, mate
your cool cyber friends - anytime.