Stuttgart is easily reachable by airplane, train or car.
Stuttgart has a well-working public transportation. The VVS (Verkehrsverbund Stuttgart) includes all trams and busses. If you stay for several days you can buy e.g. a special
three day ticket with an additional pass to lower the fees
for museums, parks, etc.
Stuttgart is not best-suited for bicycle due to the hills and mountains, but we have some special bicycle routes.
The best way to get to Stuttgart is by train. Though there is a good airport there, it takes time get into the heart of the city and it is really a pain to manage around your luggage when you have to move up and down in the S-bahn system. On the other hand, the trainstation is just in the center of the town and it is the end of all trains, which means you can sleep all the way until the anntandance wake you up.
If you have good driving skills, the area is equipped with good highway system, but be careful about the snow in winter and traffic jams in rash hour.
If you don't know how to drive but have a lot of time, VVS, the public transportation system is a good choice. In most cases, the buses and trains are punctuated and well spreat in the region. However, it takes people a little bit time to understand the system
Personally I enjoyed traveling by city streetcars there.
They go underground a part of their way and have a complicated system of payment.
This is Prince Eugene Square stop of streetcar #15.
Public transport in Stuttgart (and everywhere in Germany) is comprehensive. You have the choice from S-bahn, U-bahn and bus service which run from around 5.30am to 12.30am!!!