That's the one. Lots of uses mentioned below.

I have a profile that mutes my phone between 21:00 and 08:00 but only if I'm at home. I frequently work late into the night. I have a large number of backdrop images which are randomly changed every three hours, the lockscreen image is changed to match. I also have a desktop button to change it manually. I have profiles to backup various files onto remote servers. I also have a profile to stop my workout app when I get home, in case I forget.

Me neither.

It would have to be a city for me. Probably Edinburgh.

Easy question for me, Tasker. Don't know what I'd do without it. Come to think of it, as someone has already mentioned, Stardew Valley is pretty good too.

GPSLogger seems to fit your requirements. It allows you to send location data to a wide variety of different servers, including URLs.