Hi, and welcome to the forum!

The US is a big place, and it can be hard to compare living costs simply because (in my experience anyhow) you tend to spend your money very differently in a new country.

If you're considering New Mexico, for example, you won't have much in the way of heating bills, but your electric costs will go way up for air conditioning in the summer. Property taxes will vary from town to town if you buy, but some utilities (water, garbage pick-up, etc.) may be included in the rent if you are renting.

One (big) item missing from your list is health insurance (or health care costs). You need to consider whether or not your employment offer includes health insurance, because if it doesn't that can run you over $1000 a month to cover your family. Most employers split the cost in some manner with their employees, but if you're working from home, they may not offer it at all. If you need to cover your health care insurance yourself, you need to factor that into your budget.

Running a car is another cost that is hard to figure. Petrol is much cheaper, yes, but in the US people are conditioned to drive much longer distances - to work (no problem there for you!), to shop and for holidays. Having two teenagers will also run up your car insurance, as kids can get their driving licenses at age 16 (or thereabouts) and Dad is usually the one who springs for the additional insurance cost. It will also depend on what sort of car you're driving and how much you let the teens use it. Then again, it's not at all unusual for 16 year olds to have after school jobs, so you can always put the kids to work!

Food is generally cheaper in the US than just about anywhere in Europe. There are a variety of options for "Cable TV" - either the local cable system, or satellite tv (google "DirectTV" for information) and some telephone systems are starting to offer tv bundled with their Internet offerings. In fact some vendors bundle tv, mobile phone, landline phone and Internet. But don't forget the option to do your phone calling via a VOIP connection... etc. etc. The US isn't nearly as well covered for high-speed Internet access as Europe - and I'm told it's more expensive in the US for comparable DSL service.

Taxes, in general, are usually considerably less in the US, though they cover far fewer "public services" which you may have to make up for at your own expense. (Retirement and the kids' university fees are the big items there - but those depend on your long-term plans.)

Don't mean to scare you off, though. You should have no trouble maintaining your lifestyle and possibly even improving your lot a bit, once you learn how the system over there works.
Cheers,
Bev