In Livingston, I had a no till garden in beds. Not raised, just beds made by bricking walkways between the driveway and sidewalk. (yes, in the front yard) I can help you out with that not wanting to spend all your time in the garden. Retired now, but used to work 10-12 hours a day and I didn't have time to weed the garden every evening.
Collect cardboard. Lots of it. Rake back your wood chips. It would be best if you dug all the Bermuda out that you can, but if you don't want to, skip it. This would be a good time to clean out the coop, ahem, of the Asian Ground Parrots and spread in the garden. Lay the cardboard down, double layer, pile wood chips on top. When it is time to plant, rake wood chips back, cut hole in cardboard, dig hole. Drop heaping tablespoon or two of Epsom salt and blood meal in hole, mix with dirt at bottom. Insert plant, pack soil firmly around it, water. Pull mulch up to plant as it grows.
This worked well for me. A few weeds still made it, but were easy to pull, or just leave there. All I had to do was water and pick the vegetables. Every couple of weeks mix up some compost tea and water at the base of the plant.
We now have 8 acres, my garden is 70'x100' and some is covered in cardboard, some isn't. Getting there.
Here is a picture from our old house. I used paper feed sacks, this was broccoli.