Soil, watering and potting. Okay, First which pot to use.
Younger palms should have smaller containers for warmth and proper drainage. When the soil is exhausted or the roots start to push out you can replace it into a larger pot. It really depends how large you want it to grow. Therefore, replacing the pots regularly help it grows bigger. If your pot is too small, the roots will break and it will die. Make sure there isn't excess water being prevented from draining away.
Soil for the palm is crucial. Get a good quality soil. Use a soil mix that is free draining but still keeps moisture to have a soil always be dam and fertile for the growth of the roots. If the soil mix frees too much liquid, you might have to water it more frequently and that might risk drowning it or rotting the roots. Also, the pot should not be overfilled with soil. Leave an inch between soil and the top.
Watering. Some species require roots as well as leaves to be watered. Find out about the species of palm you have before hand. There are some the respond to watering patterns according to the weather and then there is some that do not need to be watered often. Of course you will need to water your palm on hot dry days, if it is cold with no moisture, you will still need to water. I noticed you have them inside, if they still are you can easily move them outside and give them a good hosing. They will benefit from that to remove all the dust. Using a hose versus a sprinkler is at your discretion. Sprinklers are not as concentrated as the hose so be careful of overwatering.
Have fun caring for your palms!