Adiabatic techniques are well-known tools in multi-level electron systems to transfer population between different states with high fidelity. Recently, it has been realized that these ideas can also be used in ultracold atom systems to achieve coherent manipulation of the atomic centre-of-mass states. Here, we present an investigation into a realistic setup using three atomic waveguides created on top of an atom chip and show that such systems hold great potential for the observation of adiabatic phenomena in experiments.