At 36, you probably can't expect your power clean to actually be a driver of your squat or deadlift. At this point, you'd just be doing Power Cleans because you want to do them, not because you need them. You don't have to do Cleans OR chins though. You could do both in any intermediate program.
Texas Method will be hard for long term usage. You might consider a heavy/light split routine or a heavy-light-medium full body routine.