Your camera roll already knows.
Every photo carries the date and the place it was taken. Postmark reads them on your iPhone, finds your trips and stamps every country you were in. There is nothing to type and nothing to sign up for.
Photos from a plane never count. Higher than 9,000 metres or faster than 400 km/h, and it stays off the map.
Airport stops are yours to decide. Photos taken only at an airport make a transit stamp, which counts only if you say so.
Home is a seal, never a pin. The country you live in counts as Lived. Where you live is never shown, only the country.
Bring the rest. Add trips from Google Maps Timeline, the flights in your calendar, Flighty or Polarsteps, or add a country by hand.
Count it your way. Every country and territory (250), the 193 UN members, or the UN with its two observers (195).
Keep it. Your passport is kept in your own iCloud, with a backup file and exports in CSV, KML, GeoJSON and PDF.