what to do with daffodils when they die off

No Aud, it is just the flowers that have 'gone over', your daffodils are still very much alive. It is beneficial to remove the flower stems so that the bulbs don't waste energy trying to ripen seed. Then just leave them alone for the leaves to die back naturally. If the leaves look messy to you you can tied them back gently.

I'm not sure what kind of daffodils I have but they only bloom once and when they're done and the leaves start to droop, I simply prune them all the way down to the ground and they seem to grow dormant until next year. They come back just as beautiful.

Arp all daffodils only bloom once in the year... they are bulbs so can't keep putting up new flower heads. But, you will get better flowers next year if you don't cut the leaves off for a good couple of months after they have flowered to allow teh bulb to be fed again.

Dead head, taking all the flowers off. Cut tops off after June 10th.

Doctorbob, is June 10th a significant date?

So after the blooms have fallen off leave the stems. Mine are not blooming anymore and starting to droop like they have in the past. Eventually they'll end up laying flat on the ground, is this when I should cut them back or just leave them and maybe tie them together like Bulbaholic suggested? If I wait 'tll June 10th they're already fried, high temps hits Southeast America pretty quick.

Try to give it six weeks after the flowers go over until you cut them down - perhaps yours flowered earlier than ours?
What Doc Bob means is take of the dead flower together with the swollen bit of stem immediately behind the flower.

In the southern areas of England June 10th. is 6 to 8 weeks after the last Daffs or Narcissus have flowered (Jonquils). If you have an acre of them it's a large area to clean up. Our aim is to have the large trumpet varieties out for March 1st. St. Davids day.

Sorry Wagger, we were posting at the same time, you sussed what I meant.