Greater Periwinkle (Vinca major) is not a difficult plant to propagate. In fact it propagates itself very nicely. A few years ago I planted a pot of V. major in a tough spot (dry, shady) and it is what Margery Fish would call "a ramper". Wherever the lax stems touch the ground they root and create a new clump which throws out more stems.
There is another tough area under a Sumach tree (Rhus typhina) where I would like some ramping to take place so I dug up one of the outlying clumps to go there. As you can see the stems are already seeking somewhere to root. Greater Periwinkle is noted as a good groundcover under trees and around shrubs.
The trick with transplanting is to get a decent amount of root. Some plants are sensitive to root disturbance but most do fine if they are relocated immediately. Periwinkles are so tough and hardy it takes a lot to deter them.
For good measure I also added a clump of the Intermediate Periwinkle (Vinca difformis). This was a sprig of stem and root that I potted up a year or two back. Without any care or attention it is clearly ready to ramp.
V. major flowers in early spring; V. difformis even sooner as early as January. Should be masses of flowers before the Sumach comes into leaf in May.