[emcq]

You can get all this functionality and more working beautifully with Android with Garmin watches. Mine lasts for many days on a charge (perhaps a week without activity tracking), has better sport tracking features, but the screen isn't quite as good. There are currently a few good deals on the Vivoactive 3, but also many higher end models available too.

[noarchy]

I use a Vivoactive 3, and the battery definitely doesn't last days if I actually use it to track a specific exercise. I'm quite unimpressed with the battery life, but the watch is fairly feature-rich, otherwise.

If I just wear it without running anything, then yes, it can last days. But if all I want is to track heart rate, sleep, and such, I can get that with a much cheaper watch.