Can my singular router I use for internet be moved from one place to another?

I haven't had Xfinity for a while, so I have been using my mother's service. But now I have a new job 20 minutes from my house and they don't have any Wi-Fi networks that can be accessed for people of my standing. I move from 3 different stations about 5 minutes away by car and sit for hours on end, if I were to buy a new plan and router, would I be able to take it to work and move it from station to station and it work just fine?