There are several different choices to go to the city center, to the new venue or to the old venue. Pleas echeck the airport web site to see the complete list of public trasportation. The chepest way is to go by metro (red line).
The easist way to check the best option to go to your hotel is to check google maps, selecting the button for public transportation
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From the Airport
If your hotel is nearby the old venue, in Cais de Sodré area, there are several ways to reach the new venue in Rua da voz do Operário.
The more suggestive way is to take the electric tram n. 28. Be aware that the 28E stops during night, and also it has a reduced route between 21:30 and 23:45. Please check the 28E schedule here:
To the venue day evening
From the venue day evening
From the old venue the the new one
Alternatively, you can take the following buses, till Campo das Cebolas bus stop and than walk to the venue(750m).
728
735
759
794
Night bus
206
210