This paper proposes two heuristic approaches to solve the Multi-Service Capacitated Facility Location Problem. This problem covers assigning equipment to access points, offering multiple services in a Smart City context. The access points should offer the services to the customer and fulfil their demand, given the coverage of the service and their capacity constraints. Both the heuristic approaches solve the assignment problem for the services separately and combine the solutions of the step together. One of them, however, updates the cost parameters between consecutive steps and produce near optimal solutions in reasonable time compared to the solution obtained from solving an integer linear programming problem exactly.