Broadband ultra-low noise amplification is important for many fundamental physics experiments. In our case, we aim to develop a quantum limited Josephson Travelling Wave Parametric Amplifier (JTWPA) for dark matter search experiments. In this paper, we focus on the development of the JTWPA, in particular to optimise the performance of the amplifier with a simplified fabrication prospect. We present our methodology for the optimisation process, focusing on three important aspects, namely utilising the minimal number of tunnel junction required, maximising the operational bandwidth and achieving a 50 Ω characteristic impedance. We first explore the relations between the important circuit parameters of the JTWPA and its performance indicators. Using the information obtained, we perform our optimisation process to search for the optimal design parameters. We then compare the gain bandwidth performance of the different optimised models, and present our findings with further analyses. We demonstrate that our optimised model requires 4× less tunnel junctions compared to the conventional model, and we are able to improve the operational bandwidth by 68% while maintaining the characteristic impedance of the device at 50 Ω.