Syncing a certain playlist to an iPhone 4?

I just got an iPhone and I'm trying to add a certain playlist, but my phone keeps trying to add my whole library (which is a LOT of songs I don't want on my phone). I've tried google but they've explained using older versions of iTunes, so that was no help.
How can I add my certain playlist w/o my whole library (please be descriptive, I'm new to iTunes!)

I iTunes connect your iPhone, go to the iphone menu check off sync all aongs" or something like that" this will allow you to drag your songs into your iphone

Go to iTunes then click whatever device you have the play list on and your IPhone and check manually manage music or uncheck sync all songs

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