Just to clarify one point - Darwin hybrids aren't species tulips, but they will return and multiply like the species ones. I grow several of the species ones and they are lovely. People are always asking what they are and they multiply year after year! Here's your list that includes other types of bulbs as well.
Have fun and don't spend the all the grocery money at one place!
When weeding, the best way to make sure you are removing a weed and not a valuable plant is to pull on it. If it comes out of the ground easily, it is a valuable plant.