Electric Vehicles (EVs) have already been playing a key role in reducing carbon emissions; and in the future, their importance is expected to grow even more. The number of EVs in developing countries is also increasing with time. Bangladesh, a developing country located in South Asia has witnessed a remarkable bloom in the number of Electric 3-wheelers vehicles. However, like other developing countries, Bangladesh faces great difficulties in balancing the net energy supply and demand. To address this issue of maintaining grid stability and fostering the ever-growing trend of EV adoption, this study introduces an optimization approach that regulates the total load of electric vehicles. Utilizing a heuristic method, this paper focuses on peak shaving and valley filling techniques for the specific EV charging patterns of Bangladesh. This approach incorporates three objective functions designed to amplify the difference between power generation and EV load during peak hours while reducing it during valley hours, all while considering the inclusion of weightage factors. Simulation data demonstrate that the implemented algorithm offers superior performance compared to the non-optimized system. Furthermore, we also estimated the electricity generation and EV load for the year 2030, and the result shows that the algorithm also function well with the forecasted data of electricity generation and demand.