@Aclemmons,
You will probably lose flowers from a bunch. For Those that suffer cold burn and look poorly I would immediately cut the flowers off as soon as they bloom (This is what the commercial bulb producers do to guarantee that all the sterngth is channeled into the bulb). You should let the leaves just have their lives and dont do anything silly like cut them with a mower or "tie them into those silly daffodil mats". They will reard you next year with a great bloom and the next best thing, naturalized daffodils will produce more bulbs at an astonoishing almost logarithmoc rate.
Like the sorcerers apprentice you will see bulbs go from 1 to 2 to 4 to 8 and so on. When the really get to be a bunch for each floqwer, you should separate them and you will have new nuclei of daffodil families.
400 bulbs, I salute you sir.
I hope you had one of those daffodil dibbles