The adoption of Electric Vehicle (EV) technology introduces challenges such as increased grid demand during peak hours, grid instability, and electricity price fluctuations. Factors such as charging station availability, time-variant pricing, and grid impact highlight the need for intelligent charging algorithms for an EV fleet. This study develops a scalable smart charging strategy that schedules charging of a shuttle fleet, while minimizing electricity costs and peak demand. The method is used to analyze a system of two autonomous shuttles operating at Linköping University area where operational data is available, but also systems with up to 50 shuttles are considered in simulations. The results indicate that with the smart charging strategy, 50 shuttles can be charged with as small peak power to the depot as 81kW.