Deadheading is really all you need to do after each flush unless they have gotten out of hand and growing wildly. That may happen if you're in a warm climate. I would just shape them up if needed and not make them put so much energy into regrowing that they don't bloom as much.

flowers is correct... we cut back just our flowers but twice a year we do pruning..... (I am zone 10 Florida) after we do our cut back we give the plants nitration to make them grow canes then we give them regular feeding.... but this may not work in your zone.

I pruned out about 10-15 inches on the 1st flush....primarily just because I like the more rounded look vs the VERT growth I got in spring.

I posted a recent thread on smaller blooms on the 2nd flush - and whether it was primarily due to weather/heat...

Would the bloom size (might) have been a different size if I did not take 10" cuts vs just a deadhead ? Just wondering....