A possible approach to implement a quality management system can be:
Setup a project sponsor, a project manager, and a project team. Ensure top management support, get training about the standard. Designing and implementing a quality management system implies being knowledgeable about ISO 9001:2015.
As a first step perform a Gap analysis, to determine the amount of work to be done - comparing what your organization already has in place versus ISO 9001:2015 requirements. From that GAP Analysis, you can develop your Project Plan, listing what needs to be done, by whom, until when.
Then, an important step is to design a model of how your organization works as a set of interrelated processes. For example:
Decide how to describe and monitor those processes.
From there it is implementation in order to close the gaps found. Then, perform an internal audit and the management review. There you can decide if your organization is ready for a certification audit.