By Air: The nearest airport to the Annunciation Cathedral is Kazan International Airport (IATA: KZN). After arriving at the airport, you can opt for various modes of transportation to get to the cathedral located in the Kremlin.
By Public Transport: The city of Kazan has a well-connected public transportation system that includes buses, trams, and a metro. You can take a metro to the 'Kremlyovskaya' station which is located very close to the Kremlin. From there, the cathedral is within walking distance.
By Car: If you are driving, Kazan city center can be easily accessed via the A-290 highway. Paid parking is available outside the Kremlin walls.
By Taxi: Taxis can be easily hailed through various ride-hailing apps or taxi services. It is a convenient, albeit more expensive, mode of transportation to the cathedral.
By Train: Kazan's main railway station, the Kazan-Passazhirskaya, is well connected to other Russian cities. Upon arrival, take the metro from the railway station to the 'Kremlyovskaya' station or alternatively, a short taxi ride will get you to the Kremlin.
Remember to check opening hours and any visitor requirements such as dress codes or entrance fees for the Annunciation Cathedral before planning your visit.