The way I did mine was Private, private multi, instrument, comm, ect.... I know some places will not rent a twin to you unless you have 25+ hours in make and model and some require an instrument rating also. In my opinion since you want to do this as a hobby and not a career it may be more beneficial to get your instrument rating first and THEN get your multi add on.
Spend the time now developing your skills in an aircraft that you are already familiar with and get really good at it. Then when you move up to bigger and faster planes you will already have a good skill set and the transition will be smooth. Hope this helps.