If tilling is something you want to do as little of as possible there are other ways to help control weeds. Of course you could spray chemicals but if you don’t want to till you probably don’t want to spray either.
Another possibility that seems promising is covering the ground with tarps or plastic. I have very limited experience with this process but have had some experience and was very happy with the results.
In two different books I have read about the use of plastic or tarps for weed control. In my bed I covered the bed with two tarps that were dark in color (blue and black). It was several months before I took the cover off but under the tarps there were no living plants, what was interesting was that the soil was damp and had earth worm activity and this was towards the end of the drought.
What seems to be backwards is that by putting a dark solid cover over the soil moisture is kept in, plants are killed and the microbes in the soil do quite well. What I haven’t tried yet was covering the ground with clear plastic, from my understanding this basically cooks the ground and kills everything. This can be good and it can be bad, if it kills the weed seeds you can get a good jump start on weed growth, however it also kills the microbes in the ground killing the micro ecosystem in the soil.
I do intend to try both of these techniques in the near future especially as I expand my beds. If nothing else it is another tool in the toolbox of the homesteader!