It's a difficult issue to discuss because of the contradicting view despite basic scientific principles. To be honest, the issue has not even been settled here on this forum between the members, and I have not been inclined to put together the information required to settle the matter. I don't use air bubbles in my system and there are no signs from the organisms I am cultivating that I need to. With that said, an air bubbler is just fine for your setup. You can't HURT anything (besides your wallet) by buying equipment for the system to add oxygen.
Short answer: Yes, there's a better way. No, you don't need to know about it right now.