I'll stir the pot a little. Synthetic vs conventional makes for some good discussions, but one should always keep in mind that the additive package that is part of that quart of oil is just as important, and sometimes more so. Considering that the additive package makes upwards of 25% of that quart, and considering the job it has to do, you can have be best synthetic base oil on the planet, but if it is tied to a lousy additive package, your engine could be in danger.
Keep in mind, that lubricants made from whale oil in the 1800's are still, technically, classified as synthetics. But you sure would be wise if you never put it in your engine. Modern Group IV synthetics are made from derivatives of natural gas. Group III synthetics, which some say are faux synthetics, are highly refined from mineral oils. Once we get past all of that, it still has to be blended with an additive package. You know, the detergents, anti foaming agents, anti oxidation agents, friction modifying elements like zinc, moly, etc. You can have a great synthetic with a lousy add pack, but if that was my choice, I would take a conventional with a very stout add pack. The ideal is to have a top notch synthetic combined with a top notch add pack.
Synthetic base oil, in an of itself, does not keep engines cleaner. It is the add pack components that keep the engine cleaner. True though, the synthetic base oil itself has a lower NOACK, or cook off rate, and that can mean fewer deposits, but it is the add pack that keeps things nice and tidy in the engine.
As for cost, there are any number of sales going on with synthetics that make them pretty cost effective compared to standard oils. I have even seen sales where the synthetic was equal in price with a conventional. keep your eyes open for sales here and there and your wallet will remain thicker.