Integrating cycling and train systems is a more sustainable mode of transport than car use, but requires significant infrastructure investment. This study identifies which integration strategy is more appropriate based on city characteristics to support government decision-making. These three principal strategies are: (1) using shared bikes, (2) parking private bikes near train stations, and (3) boarding bikes on trains. Analytical models of user and operator costs under each strategy are developed using continuous approximation, assuming a uniform urban region where users travel to and from a single train station within the service area. Key decision variables depend on the strategy being modelled, including the bike parking location, the number of bike-sharing stations, and the number of slots. The models are applied to data in the Sydney context to demonstrate real-world use. Results show that boarding bikes on trains (Strategy 3) is most cost-efficient at low demand but becomes infeasible as demand exceeds train capacity. Private bike parking (Strategy 2) is optimal at moderate demand levels, while using shared bikes (Strategy 1) becomes the most cost-efficient at high demand due to higher resource utilization and cost sharing. This framework supports infrastructure planning by identifying the most suitable strategy under different demand conditions and constraints. This study also provides a decision-support tool for facility location planning, fleet sizing, and resource allocation in sustainable transport systems.