OP, I moved from the UK to the US 18 years ago. I'm in a very blue state and I do love it here. There are many, many fabulous things about the place.
However, I must sound a note of caution. Because you have kids, you can get trapped in the States, and that is a really big thing to be aware of. If the US becomes the place where the children are deemed to be habitually resident, if you and your husband divorce then you won't even be able to take them out of the state without his permission, let alone the country.
If you were to split up in the first year or two of being in the US, this might not be an issue, since they are UK born with UK parents. However, if you ended up staying for a few years, and your husband ends up loving it, you could potentially get trapped. What then happens is the kids turn 18 and you might not be bound by a custody agreement anymore, but their lives and friends are all in the US, so they don't want to leave, and then they find a spouse, and then the grandchildren are here, too. Point is, if you stay here for a few years, you might end up never really being able to return home. I have seen this dynamic play out in the many people I know who have lived in the US for years.
Marital breakdown abroad and international child-custody battles are serious issues. I moved to the US for my American-born, British-raised husband, who wanted to go back there, and I was blissfully ignorant. Had I known then what I know now, I would not have done it. I just didn't realise what a serious decision it was. As it happens, we ended up not having kids, but I didn't know then that we wouldn't.
Just some food for thought.
P.S. Ignore the febrile media and some of the outlandish posts on here. I live in Massachusetts where we have much better maternity benefits than the UK and people who are caring for a loved one can get up to three months off in a calendar year at 80 percent of their salary, and your employer must hold your job. I don't know what a PP is talking about regarding the food; we have beautiful food here in Boston. Gorgeous fresh seafood, beautiful fruits and veg, and the US is the home of great beef. That PP has also clearly never heard of Wholefoods. Abortion and contraception rights are not under threat here, and the healthcare is outstanding. I also don't recognise what someone is saying about needing to top up their health insurance. Most employers offer great plans for less than BUPA costs. Where you live in the States really matters. If you come to a sensible state - i.e. a blue one - you'll be fine. And believe it or not, the vast majority of the population does not get shot at school, or anywhere else.