You don't need to till so, don't worry about that. Tilling is actually really bad for the soil and in the long run the plants.
Pulling the flowers is a good idea. After pulling the flowers, what I would do (and do every year) is lay down a layer of mulched up leaves (no Oak leaves if you want to grow corn) followed by a layer of manure. (Steer, horse, pig, sheep, chicken...). Finally, plant Rye atop the manure and some clover in the early spring. Mow the Rye/clover regularly and turn it in three weeks before planting.
Break the clumps up with a shovel. (No need to till). Your soil will be ripe for the planting and your vegetables will be just amazing!
(Add some Rock Phosphate as well, this will aid in the formation of soil aggregates and also; soil is 90% mineral based and 10% organic matter so, adding the rock phosphate will increase the vitality of your soil.)
Don't use commercial salt based fertilizers, these kill the beneficial organisms that live in the soil such as worms, springtails, mites, fungi and bacteria. They also feed the plants in an uncontrolled manner.
And when salt based fertilizers are used to feed plants, nothing is put into the soil to replace any nutrients that are used by the plants. Therefore, the soil basically dies and all the beneficial aspects of the soil die with it (it's a lot more complicated than I am describing here). The result is that the plants are that much more susceptible to disease and also to nutrient deficiencies.
Anyway, use the sheet composting system that I have outlined above and your plants will love it! And if you have either clay or sandy soil, this system will ammend that as well.