I booked through Booking.com.
TRA-mi-te — three syllables, stress on the first.
When the receptionist cannot find your reservation, clarifying where you booked often helps them locate it in a different system.
'Tramite' means 'through/via' and is used for intermediaries. Online booking platforms are ubiquitous in Italy. Hotels often manage multiple booking channels and the reservation may be listed differently depending on the platform used.
Ho prenotato su Airbnb.
I booked on Airbnb.
Use when checking in to a property managed through Airbnb
Ho prenotato direttamente con l'hotel.
I booked directly with the hotel.
Direct bookings may have different rates or inclusions
Ho una conferma via email.
I have a confirmation by email.
Always keep your booking confirmation accessible on your phone
Name spelling is a frequent source of check-in confusion — non-Italian names in particular get transcribed differently across booking platforms. Always carry a screenshot or printout of your booking confirmation.