C.A.
I started with rice like you and after a while, I had to add other food b/c baby didn't like the rice cereal plain anymore. I winged it and added banana and applesauce (not together, at different feedings) and she did fine with it. After we made the rounds with the fruits and had no reactions, we started veggies. We have had no problems with our baby eating veggies.
I usually give half a jar of veggie on one side of the bowl and half a jar of fruit on the other side of the bowl. If she starts getting tired of veggie I plug in a couple of bites of fruit and then go back to veggie with no problem.