Ideally I'd love to find a good GA job flying a twin for two years before I start moving into a more airline based environment because I do think there is benefit to starting smaller and moving upwards.
You really have not done your research.
You will not be let anywhere near a piston twin until you have a least a 1000 hours of experience under your belt. This will take a minimum of two years to achieve.
Thinking back to myself as a green CPL it was a huge learning curve to operate a single engine aircraft as a charter Pilot. The amount of stuff ups and errors of judgement was quite scary looking back with hindsight.
I'd hate to be doing that with a couple of hundred soul behind me.....