Some palms get a pale green appearance when they are in need of water. Many palms need brighter light, especially as they get older. Palms will respond to higher rates of fertilization with more rapid growth. This can present a problem if they outgrow their location too quickly. Mites are especially troublesome on palms and scale and mealy bugs can also destroy them.
Cats are notorious for eating the leaves of some types of palms.
Remove dead leaves. Most palms are propagated from seeds. Palms that show root primordia along their stems can be layered as a technique to reduce the stem length and those with multiple trunks can be propagated by separating suckers.