That might be part of the problem.
Using those chemical fertilizers degrade the soil, making it attractive to the type of plants that colonize such impoverished soil types.
You are going to need to start amending the soil with natural materials, to bring up its tilth, and start mulching when planting to prevent seed germination.
How does identifying the plants help with control?
Different problem plants require different control methods, and... Different plants will tell you important information about your soul.
Bulbs... Refer to the oxalis. Some of it produces crazy amounts of bulblets and pulling it leaves lots of babies behind.
Of interest.... There is an oxalis (oca) that is deliberately planted and grown as a garden vegetable... Specifically for those tubers.