You're doing the right thing on your Stargazer lilies--waiting until the leaves and stems have yellowed before cutting them out of the garden. To care for daylilies (Hemerocallis), fertilize in spring with a slow-release granular fertilizer. You may want to fertilize a second time in summer with a liquid fertilizer. Deadhead the flowers after blooming and remove the entire bloom stem at the base when it starts to yellow. You can remove dead leaves throughout the season or wait until it is completely knocked down by frost and then remove the dead foliage. Divide your daylilies in spring or fall.