You can take tram number 4 or bus number 2 at the airport, both go directly to the city center and you have a short walk to your hotel. They take the same amount of time and cost the usual city transport fare (2 euros from the driver).
Do you mean bus or train station by central station? If you don't specifically need to go to either of them, you can just take the tram or bus to city center and walk to your hotel.
Many Thanks for your reply.
Are you saying Stay on the bus past the Bus/ Railway station until terminus at town centre , then walk to hotel?
For the tram, the closest stop is called "Hobujaama" and for the bus it's called "Laikmaa". They are 100m apart and approximately 700m from Hotel Bern. These stops are not the terminus stops for the tram (going to Tondi) or bus (going to Reisisadam - harbour).
If you take bus number 2, you should get off in "A. Laikmaa" stop (in front of the hotel "Tallink"), from there it's about 500 meters walk to your hotel.
If you take tram number 4, you should get off in "Viru" stop and walk about 400 meters to your hotel.
Both the bus and the tram will pass the central bus station (stop "Bussijaam") on the way but you don't need to get off in this stop.