Garmin watches do all of those things well, including heart rate and fitness tracking/etc. Take a look at the Vivoactive line. My Vivoactive 4 gets >1 week batt

Garmin watches do all of those things well, including heart rate and fitness tracking/etc. Take a look at the Vivoactive line. My Vivoactive 4 gets >1 week battery life depending on the number of notifications I get (vibration vs battery life).