First of all it will be a pleasure to have people like you as guests in this beautiful state. Transport services provided by the State government are fine enough. As it is a hilly area, availability of autos and trains is almost negligible. Buses and cars have the hegemony over the transport. There are number of local and long route buses that carry passengers to almost every end of teh Road in Himachal. Thus the buses form the best means of transport here.
However, you might have heard of the Shimla Kalka Railway Line, which was declared as world heritage site by UNESCO in December 2008, is the only railway line from Kalka(25 kms away from Chandigarh to Shimla). It is a masterpiece of its kind. Unlike other trains, the 'Toy Train' which runs on this track takes more time to reach Shimla than by the buses on road. But the scenic view of lush green vegetation, tall trees, about hundred dark tunnels can be enjoyed by traveling in this train.
Hope that provides a good information to you.
"At great attempts, it is glorious even to fail."
Editor India Study Channel.