Synthetic oil doesn't cause oil leaks. Oil leaks are caused by bad or deteriorated seals and gaskets. Synthetic oil will not deteriorate seals and gaskets. Often, people with high mileage vehicles switch to synthetic oil and then develop an oil leak and they make the connection to the synthetic oil, but in reality the oil leak would have started regardless. The synthetic oil merely cleans out the clots of old oil that is temporarily preventing leaks that are ready and waiting to begin.
One of the main reasons to use synthetic oil is for increased time between oil change intervals. Increased protection and better fuel mileage are also factors, but increased intervals are the big one, since every time you change oil you increase oil imports and the chanced of some of that oil finding its way into a landfill.
The thing about changing oil, be it from dino to synthetic, or brand to brand, or from one viscosity to another, is every oil wears differently on the engine. The best thing to do is pick an oil from Day One, and then use the same brand and viscosity forever. That way, the engine will always wear the same. When you change oil types, brands, viscosities, the engine will then begin to wear slightly differently from before the change, increasing the overall total engine wear.
If you've been using one kind of oil from the beginning, I'd stick with that. If you want to change to synthetic, which is a good thing, then at least switch to one with the same brand that you've been using all along. If you regularly change oil brands and viscosities, then it won't matter much what you do, other than switching to synthetic will give you longer change intervals and reduce oil imports.
Buy my recommendation would be to stick to what you've been using all along, and change to synthetic oil with the next vehicl.