Place the potatoes in a large pot and cover with water. Bring to a boil and cook for about 20 minutes.
Drain the potatoes, reserving some of the water.
Place in a bowl with the vegan butter and spices. Add some of the dairy-free milk as you mash and mix the cooked potatoes to achieve desired creaminess. If more liquid is needed, add some of the reserved cooking water.
Adjust spices to taste, sprinkle with chives if using, and serve hot.