With the holidays a lot of travel is happening. A solid way to share your estimated time of arrival is to use either Apple or Google Maps.
In Apple Maps, make sure to select your destination, select Go and then share your ETA.
In Google Maps select your destination, select start, from the bottom (see the estimated time) make sure to pull the lighter area up, you can then share trip progress.
Embedded below is a 1 minute and 5 second YouTube tutorial.