OK, here is my two cents on this situation.
First of all, congratulations on being accepted to a law school. I can only hope that you take a moment and realize that many people who want to venture down this path do not get even get past first base, and you have successfully accomplished that. I applied to over 15 law schools and got 13 rejects, so I know what it feels like to get that "yes". So, pat yourself on the back and smell the rose in front of you for a moment.
Now, on to your answer. I am in a similar boat to yours, as I am a non-traditional student, have a stable living environment, good job and I am engaged to be married next year. I have been accepted into 2 law schools which are over 1500 miles from my home, thus entry into one of them will require me to move a considerable distance to attend either one. My fiancee has known all along about my desire to go to law school, thus has been supportative and looks forward to moving. Hopefully, your spouse and kids feel the same way. I would say that you cannot be complacent about the opportunity cost that law school entails for those, like yourself, who are settled in a community. You will have to relocate your family, therefore your kids will have to attend a new school, find new friends and learn a new environment. Your spouse will have to find a new job, a new school (if they are studying as well) and also assimilate into a new environment. All of this will take place while you a studying your rear off, reducing the time you will be around to kiss the spouse, pet the dog, help with the kid's homework, etc. We all know the benefits of law school. I would ask you if the opportunity (and financial) cost are worth the sacrifice?
Personally, I have chosen to pass on the law schools that I have been admitted into this cycle (one admit is conditional and requires me to go to a summer program) and retake the LSAT to try and solicit more scholarship funds next cycle. Taking 3 years off work and piling on Student Loans to survive is a daunting thought. But, add in your family's welfare, and the thought has to become even more frightening.
If you must follow your dream to law school, and I can only suggest you go into this venture with your EYES WIDE OPEN, not glossed over at the possibilities and be realistic about your potential for success as an attorney. You may be the next Charles Darrow or Thurgood Marshall, who knows? Good luck with your choices.
So now, do you want the red pill or the blue one?