Some general remarks, the list below is a collection of suggestions where to go/what to do when visiting Vienna. Consider this list to be incomplete!
Money: Make sure to bring some cash with you. Vienna is increasingly more cash-free but it is still far away from that.
Safety: Vienna is generally safe. However, there are regular cases of pickpocketing in the city center, so be aware. Some districts further outside the city can be unsafe at night (e.g., Favoriten and Floridsdorf).
Commute: If you commute for a couple of days, make sure to check "Wiener Linien" for their options on tickets. The cheapest option for a longer stay is the "8-days climate ticket" (8-Tage-Klimakarte) which is essentially a collection of 8 independent one-day tickets that you can validate as you like, e.g., share with others or reuse during a second visit.