Nope they don't need any filteration, but they are very messy so the water will probably go really murky anyway
. When you move them over they will still be very small, so if you use a filter make sure its a very weak one, like a sponge filter.
Also, dont move them over before they stop filter feeding, because the new tank wont have enough microscopic organisms in the water.
I would start acclimatising them to whatever water you will be using in the main tank now, every day just change a cup of water in the hatching tank over with the water you would be using in the main tank
. Because the smaller the triops are, the more sensitive they are to changes in water conditions
.