I have a question regarding my family. My wife and two kids are on J2 status. What will be their status; do I need to file their case in separate?
There are two steps to getting a green card: filing an I-140 to qualify yourself under certain immigration category (such as EB-2 NIW) and filing an I-485 to adjust your immigration status. You will be the only person filing an I-140 and after your I-140 approval (or pending if you wish to do concurrent filing), both you and any dependents will need to file I-485s to adjust your immigration status in order to become permanent residents. Your I-140 will not affect your wife's or your children's visa status.