You might look into E-1 or E-2 type of visa (in your case I guess it would be E-2) which is by far the easiest way to work in the US but also the most restrictive as it is a non-imigration type of visa.
It requires a substantial investment (always check with an immigration lawyer for advice) to start a business. It is restrictive in the sense that if you go out of business or stop the business you'll have to leave the country. Your spouse can get a work permit, but your children can't.
Another route is possible if you have a business in your own country that has been operating for a few years. You can open a subsidiary in the US and apply for an L-1A visa (for managers and executives) and from there petition for an EB-1C Green Card.
Whatever you try, consult an immigration lawyer and have them assist you and let them file paperwork. It will cost some money but this is something too complex and tricky to do yourself.