Hi Tia,
My lo turned one three weeks ago. When she did, I did drop her afternoon milk, but whenever I feel she wants it, I always give it to her still, which is two-three times a week. I'd atleast start giving her solids before her milk, since now, solids should be his main source of nutrition. Even in that you can do a variation like I do, which is give milk as the first thing in the morning, and the other two meals, its solids first then milk.
Go with whatever you think works for you. I know how hard the thought of "if everything changes, and he doesn't take well to the change" can be.
HTH,
Sumita