We usually say "modes of transportation" for different kinds of transportation. But you can say "kinds of transportation" too. It cannot be plural (cannot say "transportations")

Meanings of the noun "transportation" 1.The action of transporting someone or something or the process of being transported Example:The era of global mass transportation 2. A system or means of transporting people or goods Example: Transportation to the site includes a monorail 3.The action or practice of transporting convicts to a penal colony Example: The transportation of English convicts to Australia meant that there was less crowding in English jails.