Best Way to Use MacBook Pro Remotely

Curious if anyone has any insight on leaving a 2018 MacBook Pro on for extended periods of time so I can remote into it.

My work recently provided me with a tablet in which I was able to set up TeamViewer on my Mac and Tablet and have been able to access my MacBook as long as it is awake. Of course the only issue occurs when my MacBook falls asleep and I no longer have an active connection to the internet. If I change my MacBook settings to never fall asleep, could this damage my MacBook - i.e. harm the battery, display, etc?

Also, does anyone have an suggestions on "waking up" my MacBook from a remote location (not within the same local area network)?