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Many of the hotels in the city centre are in a walking distance from the Kamppi bus terminal or next to the metro which brings you there.
Transport
Detailed timetables and routes for public transport exist from the Journey Planner: http://www.reittiopas.fi/en/
Airport to Helsinki
We recommend either the I-train or Finnair City Bus. For all alternatives, see: http://www.finavia.fi/en/helsinki-airport/to-and-from/train-buses-and-taxis/. Note that the Finnair City Bus ticket is not valid to other buses, but the train ticket is.
Helsinki to Venue (Espoo)
Busses 102 (platform 41) and 103 (platform 42) from Kamppi bus station (Buses to Espoo), exit stop Miestenmetsä. (102T and 103T also go to CSC, but take a longer route.)
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Airport to Helsinki
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Venue (Espoo)
The simplest way is to first come to Helsinki railway station (see Airport to Helsinki), walk to Kamppi bus station (10 minutes) and take a bus 102 or 103 to the venue (see Helsinki to Venue (Espoo).
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Metro: <todo>You may save some time by taking a more direct route via Journey planner, but (depending on the weather) those might not be as convenient.