How do I CFrame something without using coordinates?

For example, you can use the Position property to add a Vector3 to a part's position like this**:**

part = script.Parent

while true do
	part.Position =  part.Position + Vector3.new(0, 1, 0)
	end

That would make my part go up, but if something was in the way, it would teleport over the something. I would like to know how to do something like that with CFrame values.

Is my question confusing, or a solution impossible to provide?