Yes to clematis, Ferns and lily
of the Valley: Just keep them watered till they get established.
Clematis dislikes being moved so here is a suggestion: Choose 4 strong stems. Cut these back to the lowest 5 or 6 leaves per stem. Remove all the rest of the growth. Using a spade go out from the root system and sink the spade straight down. Do this all the way around the clematis. What you are trying to do is dig the plant out without disturbing its roots. Re plant the rootball so it sets 2" below the soil line. Mulch and keep watered during the season. Don't feed. It may pout this year but will come back next year.
Ferns: Don't hold the plant by the fronds when digging out or transplanting. These may also pout and drop the fronds but keep watered and they will do fine. These do need shade.lily
of the Valley: This is a very invasive plant. If you move it keep it well away from other plants or beds. Put it in a bed and not only will it take over and choke everything out, you will be digging it out forever.
Am not familiar with the other two plants you named.