Hi Jane,
I like to dampen paper and do it the way I learned in a Japanese woodblock class. I cut down a big sheet of chip board/binder board/davey board (thinner BB works best and NOT the acid free which is reluctant to take up the water) into sizes larger than my printing papers. Then I take the stack of binder board/davey board and dip each one briefly in a tray of water and stack them up. Alternately you can spray them with water but that takes longer. They are very absorbent and very quickly become evenly damp. Then I stack the paper between the sheets of damp board and put a piece of plexi on top with a weight for maybe 10-15 minutes. Then when I print I uncover the stack one layer at a time so it stays damp. I feel like I always get a nicer print on dampened paper. I can reuse the stack of boards over and over. They get warped but when damp relax flat. I dry them after use on those collator devices that secretaries used to use which fold up like an accordion. https://tinyurl.com/kx4tujs