I have a lilac bush that I got from my grandmother's place. It was a small plant at the time and now it is a huge lilac bush next to the house and it is blocking a gate. I need to move it if possible. I was thinking I could dig it up and divide it into several bushes. It started as a 6 inch bush and now is about 6 ft. wide and about 10 ft. tall. Can I trim it down, dig it up, divide it or transplant to several locations in the yard where it would have plenty of room to spread out? I have dug up other shoots from it and will plant those too this fall. Can I cut a stem and put in rooting compound and start new plants that way?