My gut instinct says, don't move. That support network of friends and family is invaluable to you. Plus it's less disruption to the kids.
Yes, it's incredibly rotten that H doesn't say "Yes! I'd love to have you live nearby and I could take the kids every weekend!". But the sad truth is, he's not just running away from you, he's running away from parenthood. Plus, again, OW may have NO IDEA that he's a married man with three kids, and you moving there might blow his cover.
Stay where you have people who can take the kids for an evening or weekend as you start building a life for yourself.
