W.P.
I have done the same thing with my boys and I wish I had put my foot down sooner. My boys are now 6 and 2, both very close to a birthday actually. Some nights I find myself making a different meal for everyone in the house! You would think the world was coming to an end when I try to make one meal for all of us. Stop doing it NOW. The temper tantrum of a one year old is easier to handle than that of an older child. Trust me. If I could go back in time and give myself warning, I would.
My sister is a pediatrician and would give her daughter Pedialyte when she wouldn't eat at that age. My niece just refused to eat at all back then. If she did eat it was one or two bites tops. She would buy the chocolate flavor, warm it up a bit, and present it as hot cocoa for breakfast. My niece is now 8 and still doesn't eat much, but she does eat what her parents eat.
Remember you are not alone. Good Luck, to both of us.