Seven Sisters Pruning Question

I promise the next post will be pretty pictures but I’d like suggestions.

Seven Sisters Rose after blooming
Seven Sisters Rose after blooming

I am not sure how to prune Seven Sisters.  I will be deadheading this, which was magnificent, and I’ll have to do some serious thinning, too.  This rose is not prone to black spot but you wouldn’t know it from looking at these shots.  Summer pruning will help.  Here is my problem.  I know that next years blossoms will grow off laterals from those new shoots but what about the old canes and laterals, do they produce blossoms again on the old laterals?  Do old laterals produce new laterals with blossoms?

Comments and suggestions are welcome.

 

Seven Sisters Rose needs a haircut
Seven Sisters Rose needs a haircut