nice to meet you isn't wierd dude.... honestly i think people are taking this a little to seriously. i didnt get that from some other forum either, its just an average nothin-too-special or overanalytical handshake that is just my natural reaction when i'm introduced to someone. didnt get that off some older more formal dude... contradicting your theory i think everyone does that in high school, at least in my school. no one ever had a problem with it. seriously what else would you say? its the definition of casual. its not advice for older men. its for anyone age 6 and up. and its the complete opposite of unique/wierd. it IS commonplace/casual. i can think of nothing more casual than a handshake with 'nice to meet you' to go along with it. cheesy grin/stupid wave across the room, definitely not casual... and probably a little wierd as well. sooo um, maybe switch those two around and you'll be good? not trying to be mean.
and yeah i think you mean you should wave when youre being introduced at a distance. then its fine not to go out of your way for a handshake. but in a circle where introductions usually take place its probably better to shake than wave 2 feet in front of them lol.
and now for the advice: think on your feet dude. think outside your head. use your judgement. you don't have to obey a rule every time you get introduced and go: ok if theyre within 2 feet of me i shake, if theyre further away, i wave and do a cheesy grin, blah blah. being introduced is really not that hard. stop trying to do everything so damn perfectly even for things as little as introductions. there is no 'decision' to make about this, there is nothing to be set in stone, nothing to be memorized and canned here. its probably the easiest thing you can do. do whatever you want. you should have enough common sense in that brain of yours to not screw something so simple up. (like randomly hugging them). not trying to be mean.
that wraps up this, no offence, useless question....