Genoa is a great destination for a weekend break, with lots to do and easily accessible through budget flights to Genoa Airport, which is only a 20-minute bus ride from the city centre.
It is also a good starting-point or stopover on a tour of the Italian Riviera.
Public transport is also included in the Card Musei bus, a combined ticket for the majority of the town's museums, which is available for 24 or 48 hours (and also comes in a cheaper version without included transport).
The good modern museums by the old harbour, including the aquarium, are very commercial enterprises and have their own combined tickets.
There are a number of different combined tickets available which could save money if you're visiting several Genoa sights, but they offer overlapping benefits so you may need to do a bit of research to work out what will save you the most money.
At the time of writing, the bus ticket from the airport includes 24 hours travel on the public transport system.
Genoa is quite well organised for tourists, with helpful tourist information kiosks by the waterfront and the Ducal Palace and a useful desk at the airport where you can pick up free maps, leaflets, English-language itineraries and advice on how to reach your hotel.