I am a 3rd year law student who has 3 kids and is also going to be having another baby in October. I think it's definitely possible to go to school fulltime and raise kids too, but it will be a lot of work. Make sure you have a good support system and expect that your first year will be the hardest because the school usually dictates what classes at what times you have to attend school during your first year. The second and third years you can create your own schedule, and it makes it really easy to be home when you want to be.
I made it through 2 years so far, and even commuted 2 hours each way my first year. It was tiring, but I was a fulltime student so I could be home in the evenings with the kids, and because they were in school anyway during the day (except my youngest was in daycare.)
I encourage anyone with kids to not let having a family get in the way of your own goals and dreams, and I think law schools need students with families to push them to create schedules of classes that work better for parenting students, etc.
At Seattle University School of Law we created a student organization for students who have families (we call it FUN- Families United Network) and it's a great way for all of us to network with each other. Some members even swap daycare hours. It's been really good for our school to have our organization on campus because those without kids are now aware of those of us who do, and they have been very supportive when planning events, etc.
Good luck with your law school endeavors!