Great question! I'm not bothered here by too many pests that like the daylilies. Earwigs always seem to lurk in the center of the daylily, but I leave them alone. I know thrips can be a problem for some, but I haven't really experienced much damage from them here.

I have earwigs in my daylilies, but since the blooms only last one day they do not do too much damage. On hostas they will eat the leaves.
Jen

Aphids usually are a problem early in spring when the foliage first starts emerging on the dormants. Thrips may be a problem, especially if you show your flowers and need perfect color on the blooms. I treat for thrips early. After it gets hot and dry in the summer, spider mites may attack. If you see white looking foliage at the arc in your foliage, it may be spider mites. Get your magnifying glass to see them on the underside of the leaf. Watch for snails and slugs. they can be a problem, especially if you allow dead foliage to accumulate. That's about all that trouble me.
Ed