How are you managing Diaper changes and rashes?

My LO is 4 weeks old. We are tired of diaper issues. If we use normal disposable diaper such as Huggies or Pampers, my baby gets brutal rashes it seems. If we use cloth diapers, it's nightmare to change it every 2 3 hours and whenever we try to change my baby cries a lot and her sleep goes for full toss.

How are you guys managing diaper change, rashes and maintaining sleep while changing diaper?

EDIT: thank you so much amazing tips such as using hairdryer and pausing between diaper change. We are using wet wipes and immediately changing diapers. When there were rashes, we are using a diaper rash cream (Himalaya brand).