Your "right to travel" is part of the 5th amendment, a right not to be deprived of life, liberty, or property, without due process of law.
Constitutional rights can still be restricted if they meet the relevant test, for due process it is generally rational basis. Requiring licensed drivers, registering cars, meets the rational basis test and is not unconstitutional. Restricting interstates/freeways to vehicles capable of 55+(when there are other roads available, there are some areas where bicycles or walking is allowed on freeways) also generally meets the rational basis test and is not unconstitutional.
Traveling is not the same thing as driving. Being a passenger, vs driving. You could have your right to drive restricted because you were convicted of a crime and pose a danger to others, but that doesn't usually mean your right to travel is restricted.
You generally do have a right to use public transit, unless you have been given due process and lost that right.