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Self-hosting your location history with OwnTracks
(sathyasays.com)
Hosting your own services. Preferably at home and on low-power or shared hardware.
Also check out:
The feature I like most about the Google Timeline is the automatic transportation mode detection. It just knows how many kilometres I cycled any day etc. and also aggregates these into a monthly email. And it works completely automatic without fiddling around with anything.
No selfhosted alternative can do this afaik..