What would be the best way to see these 3 in one trip without a car?
Not sure what you mean by all inclusive, but depending on your itinerary trains work well in Europe.
If you really want to see all of them you need three weeks at least.
One option is to purchase multi-city airfare: into your arrival city and home from your final destination.
Then decide what places in each country you want to visit, as well as how long you have. This will help you decide how long to stay in each p,ace.
Trains are a great option point A to Point B for many places in these countries.
thx so much for your replies