SCButtercup said:I'd like to try propagating in case it gets too woody as others have said.
I still have the rosemary that I planted 30 years ago! I have trimmed it back a lot many times over the years. They are easy to propagate. I have even, on occasion, accidentally rooted some cuttings in water. I had put them in a bouquet and after the flowers faded I left them in and changed the water several times until I noticed some roots forming, so I potted them up, then later planted them.
I have cut the dead wood out many times. In fact it needs another trim, as do the others in that same section.