Welcome, Tallman!
I have finally learned how to grow carrots. Now that I don't even bother in the harder soiled areas, they are doing great. I really loved my Dragon carrots from Seed Saver's Exchange. Great germination, growth, flavor and storage. They are purple outside, orange inside. Didn't care as much for a variety mix of colors I got from another catalogue. Danvers and Nantes did great. Can't remember which one, but one of them got huge!
I plant by broadcasting the seeds on the surface of a 5'-wide bed, very well worked up, very fine soil. Then, I rake them in gently. Consistent moisture seems to be the key for getting them to germinate and stay alive, especially for those mid-summer plantings.
I thin them once they're big enough to be developing some root.
This year, I had enough to actually store. I dug them, brushing them off (did not wash), cut the tops off and then stored them in big plastic tubs. They actually stayed pretty good for a couple months. Then, they froze, splitting their skins. So, the rest went to the chickens. Next year I will pay closer attention and get them to the cellar once it is cold enough and the garage is too cold.
Good luck!