How do I prepare soil for a vegetable garden from a grassy lawn?

I have already started the seedlings, but I want to transplant them into the ground tomorrow. I’m hoping to prepare a little patch of soil on my grassy lawn, but I know nothing about gardening. I understand I have to till the soil several inches deep, but what do I do with all the grass? [...]

Tags: fertilizer, gardening tools, grass, grassy lawn, ground tomorrow, seedlings, several inches, shovel, top soil