Need guidance on what to do with Rose bush
We moved into a home that had been vacant for nearly 3 years thus almost no maintenance had been done on the large flower beds in the yard. This Rose Bush, I have no idea the kind, was very old and HUGE, it had a very thick central stalk that had all totally dead branches that were as tall as the currently living plant. We sawed that off and was left with the two only living younger parts of the bush which you see currently. A new smaller one started to grow as well but is full of yellowing leaves. I love how the taller healthier plant is about to bloom with tons of roses but the over all plant looks ugly with the two tall stalks and no other branches. Is there anything I can do to this after the blooming period? Im not sure how to prune or try to promote new branch growth.