Difference between claim, stake and auto compounding for earning the higher APY%? How exactly do u earn that higher APY%?

CosmosCosmos
$11.19
5.39%
self.cosmosnetwork1m ago
I'm staking now in keplr/osmosis and know they currently dont have auto compounding. I guess I'm confused what the benefits are for auto compounding your rewards? Is it just so it's done automatically and u dont have to worry about it? IE convenience? Or does auto compound actually earn u a higher %? I noticed a lot of places show a much higher APY% than APR%, Like sifchain for example. So do u get that higher APY no matter how u retake your rewards or do u have to do it a specific way? Thanks!