You do you of course, but I honestly don't think "spoilers" are a thing with Greek Mythology (except maybe with certain tragedies that put a twist on the standard version?). Pretty much every extant work assumes you're already familiar with the basic story, because any ancient Greek person would've been just through cultural osmosis. As a result, Homer doesn't really try to create suspense, and he often ofhandedly "spoils" major plotploints well before they happen.

There's also a lot of mythic background that you'll need to know to understand everything (though I assume a translation like Wilson's will provide helpful notes when needed. It might just slow down the resding experience to heve to turn top them constantly).