Hard Suitcases Will It Be Hard To Travel From Gatwick To Knightsbridge On The Gatwickexpress With A Suitcase And Stroller?

Will it be hard to travel from Gatwick to Knightsbridge on the Gatwickexpress with a suitcase and stroller? - hard suitcases

Are there elevators to get from Gatwick Airport, on the platform? I have my child in a pram and a suitcase and traveling alone and have to drive from Gatwick Airport to my hotel in Knightsbridge ... I'm scared! And I heard the super-mega-taxis are expensive. Other ideas?