As new, it would have come with an angle iron frame with a wood insert. The base you have would fit inside that frame.
This photo will give you an idea of how it's set up.
I'm sure there are worse enlargers to make "mobile", though what they might be escape me at the moment.
That said, you could mount it to a
very sturdy homemade cart, using (IMO) 6 bolts through that bottom plate into the top of your cart. I'd use 3 bolts with washers across the back (where the struts are), 2 in front, and 1 square in the middle. You could, of course, use off-the-shelf angle iron to reproduce the base as well.