Welcome, I second the motion on the Otis kit, I have the tactical version that is 5.56/.223 specific. It comes with a little tube of cleaner/lube, but you will want to get a bigger bottle of whatever you prefer (I'm not going to the "what is the best cleaner/lube/preservative" area, there's another thread about that and I've already voiced my preference there)And a warm welcome from “wild and wonderful “ West Virginia at least that’s what they tell us.
As to cleaning kits Otis make a nice one has everything you need for chamber to bore cleaning. you can find them cheap sometimes on e*ay just keep and eye open for the cheaper priced ones with shipping I've gotten several for less then $30 with shipping or get yourself a bore snake and other parts to clean your AR. Do a search on the forum lots of discussions on it.