Leave the canned miracle on the store shelf. Those products are good wallet emptier but are not needed nor necessary.
The motor oil has cleaning agents in it. There is no need to "clean the oil system".
I don't know of any non-detergent oils on the market. Perhaps a 2-cycle oil, but I have doubts.
Just follow the recommended viscosity, API specification and the change interval, then all will be well. Brand is basically a personal preference.
Always, always, always change the oil filter with every oil change.