Q.vegetable garden
Should I remove all the weeds before tilling the soil?
Yes, pulling as many of the weeds as possible will help you in eliminating weeds.
Cultivating the weeds can tear the roots into many small pieces and they can easily root and spread, making more work for you.
https://www.gardeningknowhow.com/special/organic/weed-it-and-reap-how-to-make-your-garden-more-appealing-without-chemicals.htm
https://www.gardeningknowhow.com/edible/vegetables/vgen/vegetable-weed-control.htm
https://www.gardeningknowhow.com/plant-problems/weeds/weed-control.htm