I have a one piece Parker Hale, plastic coated steel rod, brass tips. Haven't seen Parker Hale for sale in shops in many years. So get a Tipton, or Dewey. I use bore snakes for a quick barrel wipe out in the field or hunt camp. I carry an Otis field kit in my jacket pocket for just in case situations while in the bush. I think most fellas have issues with a pull threws, or bore snakes because they put to big a wad of cloth on the end and it gets jammed up in the barrel and something breaks. Just put a reasonable piece of cloth on so it slides through easily. It still cleans out the daily crud from a day in the bush and never gets stuck.
My shotgun rods I made myself from lengths of various sized depending on gauge hardwood dowels with cannibalized threaded aluminum ends pinned and epoxied to them. Those dowel rods are 40+ years old now and still doing there job. Come to think of it the Parker Hale Rod is that old as well. So if you invest in good cleaning equipment it will last you a life time.
All the above has worked just fine for me for decades. I never damaged a gun that I am aware of and they always came out clean.