Roses

We have a couple of rose bushes in our front and backyard. So Jackson wanted to be the big helper that he is and help me cut them and put them in a vase.
I need some pointers on how to take care of a rose bush so they produce more flowers like this. Have any suggestions?
Also, some of the trees in our front yard are just starting to turn colors. I can only imagine what the trees around us are going to look like when they really start to turn.