Aesthetics are a personal thing -- you seem to have no chest hair anyway, so shaving your armpits wouldn't be that big of a deal. If you don't like the look, it will always grow back. Guys who have more hair on their bodies can't pull this look off as easily. Personally I'm not a fan of it. I don't think it's sexy, and I automatically associate it with harbouring bacteria.
Being Hairy = Being a Man is a social construct. After all, women are also hairy (although to a lesser degree) and yet we seem to think it's ok for them to shave themselves down like a pre-pubescent girl. Multi-million dollar industries -- not to mention self-esteem -- are built around this notion.
In the end, they're your armpits, you'd only be removing hair, not your nose, so do what would make you happy.