DST trigger for RTC

I try to make special project using RTC as a 60 Hz generator to drive external slave clocks. Everything works fine but I would like to add Daylight Saving procedure to automatically adjust all slave clocks.
To do that I need to add function which will trigger additional set of pulses 2 times a year (change from summer time to standard and back).
I've found following topic Library for time zone conversions and automatic DST adjustments - Exhibition / Gallery - Arduino Forum and following library GitHub - JChristensen/Timezone: Arduino library to facilitate time zone conversions and automatic daylight saving (summer) time adjustments.
It looks promissing but I don't know how to implement that in my project.
In fact I don't only need to convert time from my RTC and show its value on Serial Monitor or LCD but I need to start special function when time need to be changed from summertime to standard.

I hope that it is clear description.

Anyone knows how to use that? Can I use TimeChangeRule from mentioned library to trigger my function?