Some do tend to move quite a bit. I know my xh moved 4 times the first 18 months and have 5 mailing addresses to which mail was going to. He could be moving again to be closer to the kids or maybe the rent is to high or the place isn't all that it's cracked up to be. He may also have discovered that each place didn't make him feel any better. They crave change, hoping it will make them feel better.
As for his mother, she may not seen any changes because he's wearing a mask around her. It took my xMIL a while to witness some of the odd behavior. Trust me, the mask he's wearing around her will eventually drop. I wouldn't put much stock in what he's told his mother. They say all sorts of things along the way. If the relationship works out, fine, if it doesn't, he'll either stay w/her out of pride or move on to the next one....but whatever he does...don't dwell on it.
Always remember, you only have control over you and what you do and how you react to his behavior. You have to make your own choices, set boundaries, continue to move forward and yes...keep the focus on you and your children.
Sit quietly, the answers will reveal themselves when you least expect them to. The past is gone, the present is a gift and you need to focus on today, allow the future to reveal itself when it is ready.
