I don't need or want to tell people where I am staying.
Don't worry, we just want to help, not to intrude into your privacy.
Download the WienMobil app onto your smartphone to get all information about public transport, including the purchase of tickets. The cheapest and most versatile ticket is the Flexible 7-Days-Pass for €17.10 which allows you unlimited use of all means of transport (trams, subways, busses, S-trains) for a week starting on the day of your choice.
https://www.wienerlinien.at/web/wl-en/wienmobil-features
For finding the best way from A to B (including alternatives) I prefer the VOR AnachB App because it gives you the routes not only using public transport, but by car, bicycle and walking as well.
https://www.vor.at/en/timetables-mobility/vor-apps/vor-anachb-app
Edit:
Effective July 1st, 2024 Wiener Linien, the operator of public transport in Vienna, will change some of its ticket offerings.
Three items are of interest for tourists:
(1) The calendar week ticket (Mon-Sun) will be abandoned.
(2) The flexible 7-Days-Pass, as described above, i.e. purchased online, strictly personal, will cost €19.70 now.
(3) The new flexible 7-Days-Pass, if purchased as a paper ticket, is transferable, will cost €22.60 and can be obtained from ticket vending machines, ticket counters, tobacco shops.