New mac laptop! ITunes sync issues?

I just got a new MacBook Air today! It's my first apple computer, I'm switching over from a Dell and I'm having some iTunes issues. I have a lot of music that I bought off of the iTunes store but there are quite a few songs that are in my iTunes library that were not bought through iTunes but are just in the library. Since I'm having to switch all my stuff over, I'm having some issues. Most all the music that I had bought is already in the new iTunes library on the MacBook because of icloud I think. When I hooked my iphone up to the mac, it asked if I wanted to sync my phone library (with all my songs on it) with the new itunes library that doesn't have all my songs on it, which would mean I would have to erase All my songs off my phone and replace it with the few I have on my new computer. What I'm basically asking here is, how do I get all the songs from my Iphone onto my new computer without erasing them all? Sorry if this is confusing!

Itunes has been messed up lately, I just restart my iPhone and mac and its fine for like one synching session

If from the laptop just transfer with a flash drive & you won't have to worry about erasing of files.

Transfer purchases.a window pops up and asks you about it, unless youve already cancelled it or something

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