dracut has a quite a few advantages in general but most of them don’t have much impact on an existing running system. That being said, it is easy to switch so go for it. The dracut discovery article lists the steps for switching.
Changing to systemd-boot is a bigger exercise with more tradeoffs. The instructions for that and the list of tradeoffs are here: [Tutorial] Convert to systemd-boot
If you decide to do both, following the systemd-boot instructions will also switch you dracut if you follow those instructions.