This year we have decided to try out a new approach to gardening called sustainable permaculture. A family member suggest we watch a film online called "Back to Eden" explaining the methods for gardening in depth. Their website even provides pretty extensive instructions, but it leaves room for you to figure out what works best for you in your location. By adding new covering to your garden you just keep adding more and more nutrients as the year goes on with no tilling involved at all! It's already really impressed us, especially the weeding aspect of it.
I suggest checking them out and get growing!