If you really insist on changing from a mineral oil to a synthetic or semi-synthetic oil, use a flushing oil first. These oils are usually rated 0W20, or something like that, and are not for normal use - they are used to clean the crap out of engines - though I think some hybrids use a 0W40 oil. A 0W20 oil looks like light brown coloured water and will not get viscous enough to protect your engine, so please don't drive around with a sump full of it as you'll ruin your old engine.
What you should do is drain your old oil, leaving your filter in place. Fill the sump with flushing oil and run the engine with no load for about 20 to 30 minutes until it gets warm but not hot. Drain the flushing oil, change the filter and refill with your choice of synthetic oil. Job done.
However, I must admit that I can't really see the point. These engines were built during the times of mineral oils, so I'd reckon unless you absolutely have to, leave well enough alone.
Happy Easter,
Chris