For this trip, we recommend renting a car to make the most of the scenic drives and to have the flexibility to stop wherever you want. The total rental cost for the week is estimated to be around $200. Keep in mind that gas prices in Austria are higher than in the US or Canada. Plan for a total cost of around $150 for gas.
If you have more time, consider spending an extra day in Vienna to explore more of the museums and art galleries. If you have less time, you could skip Graz and go directly from Salzburg to Innsbruck. Alternatively, you could spend a second day in Innsbruck and explore the nearby hiking trails. If you want to save money, consider staying in budget-friendly hostels or Airbnb rentals instead of hotels.