We took trains, trams and funiculars on our trip. The funiculars are great old ones and some of the trams are nearly 100 years old. If it is hot out, the old open air trams are much more comfortable than the new trams (they don't have the air set cool enough)! The 28 tram takes you almost everywhere you want to go and if you are on a short trip, probably the only one you will take. The funiculars are expensive, but are covered if you get the transport passes, so get the transport passes!
As with any major city, keep track of your valuables while on public transport!