How to put iTunes library on new computer from iPhone 5S
I've seen other people ask similar questions, but all the answers involve doing a back-up from your old computer. I cannot do that. My old computer is gone, I no longer have any access to it, I cannot under any circumstances do any kind of back-up. I have a new computer now, and after much delaying due to simply not wanting to struggle with it, I've decided to finally put iTunes on it and sync my iPhone 5S. Now I've been bitten by this before. Several years ago, the same thing happened with another computer, and when I tried to sync my iPhone 4, everything on the phone's iTunes got erased and I could no longer access the dozens of songs I had bought on the phone. They didn't show up at all in my iTunes library, Apple told me they could not retrieve the songs even though I bought and paid for them, and I ended up wasting hundreds of dollars. I will not do that again.
I'm wondering if there is ANY way at all that I can sync my current iTunes library on my iPhone 5S to the iTunes library I am about to download onto my new computer. Every other reply I've seen says I need to do a back-up on my old computer, but I cannot do that. Is it at all possible to just transfer the library from my phone directly to my computer iTunes library? All the music I have is bought legally through the iTunes store on my phone and shows up in my library on my phone. My new computer has Windows 10, fully updated, and everything else on the computer functions normally.
Thanks in advance for any help you guys can offer!
iPhone 5s