I've lived in the midwest for decades.
I echo the thoughts of @Rocksaltrita.
A lot of your experience will depend on the city you're living in (as with the UK, there are huge differences among localities).
That being said, most cities boast good public facilities - libraries, public pools, parks, rinks, tennis courts, basketball courts, soccer fields, baseball fields, etc. Most cities have a sense of civic pride that you don't really see in the UK on a widespread basis. People are 'neighbourly' - there are block parties, neighbourhood progressive dinners, people hang out in backyards, invite neighbours for BBQs, help shovel snow, organise meals for you when you come home with a newborn, etc. You don't have to worry about gangs of youths partying in the local parks every weekend. Teens dont spend their evenings wandering the streets. In many places, you won't see graffiti. In many respects, the US is an extremely civilised place to live.
You need to ask the employer if you'll be sponsored with a visa that permits you to work.
Ask about longer vacations to facilitate travel back to the UK.
Ask someone in the company's HR dept to walk you and your H through all the sectiinsnofnthe health insurance package and to explain all the fine print. A long zoom call would be necessary for this. Leave no stone unturned. Ask every question that pops into your head. There is no such thing as a stupid question and it is very important to understand your coverage.
Look up median and average income in the city you'll be moving to. Your family income should be higher than the median and the average. You would probably need to buy, insure, and run two cars. You will need to pay for extracurricular activities for your children. You will need to keep a nice chunk of money in your bank to cover health insurance co-pays and out of pocket expenses. You will need to be able to afford flights to the UK and decent holiday trips in the US. If you opt to put a child in daycare or preschool, you will have to pay for this. Preschool (age 2 to age 4/5) is also fee-paying unless the local public school district offers a preschool option.
Initially, you will have no established credit, and you will need assistance getting utilities set up, getting phones/ broadband, proving to a landlord that you have the salary to afford the place you live in, etc. If you're serious about this move, get yourselves American Express cards and start using them frequently. The Amex card will help you establish credit history.
Look up areas of the city (and suburban areas) that have good public schools. There is a lot of data available on class sizes, expenditure per pupil, etc, in different school districts. You need to look up elementary school districts in the city your H's employer is based in. School registration requires residence in the district. School districts are strict about residence. The employer needs to offer help finding you an affordable home in an excellent public school district. Public schools are all free apart from a registration fee.
Private schools are all fee paying and include Montessori, Waldorf, country day schools, other independent schools, and religious schools. The latter are mainly Catholic parochial schools (and high schools), though there are Jewish and Lutheran elementary schools (and Lutheran high schools). The Episcopalian Church (equivalent of the CoE) generally doesn't run schools. Other denominations that run schools in various regions are Presbyterian, maybe some Baptists. Where I live, it's RC, Lutheran, and Jewish, plus Montessori schools.
Class sizes tend to be excellent in well-regarded school districts and in private schools. You can look up average class sizes online. Special ed tends to be good in public schools. Public schools are obliged by law to provide an appropriate education for everyone legally registered in the district. This includes making sure physical access is possible (school transport). In general, public school districts offer in-house assessment and diagnosis of SEN, and the process reads to be timely and efficient (and also free). In the public school district where I live, all students regardless of whether attending a public or private school can avail of SEN assessment via the district, and can also do speech and OT and other therapy via the public school district free of charge and with transport provided. One of my DDs (in a RC elementary) had a classmate who was picked up from the RC school twice a week and ferried by district bus to a public school to do speech and OT, then returned, at a cost of $0 to his parents.
All schools require proof of various vaccinations before children can attend. Each state has its own requirements that are available to see online.
Politically speaking, counties with sizeable urban areas tend to vote blue, even in red states. Some bluenstates are blue because of the blue vote of major urban areas (Illinois, for example). This might make a difference to your comfort level. You can look up the county voting result in the last election.
Joining in and introducing yourself until your face hurts from talking to people is the way to find friends. If you join a church, go to storytime in the local library, get your kids into T-ball or AYSO soccer, or some other organised community based sport, you will meet other young parents. Your neighbours will be curious about you and will say hello.