How to transfer MP3 files from iTunes to my iPhone?

I was able to get all of my MP3 files from my computer's hard drive into iTunes, then put all those songs into a playlist. I can't transfer it directly because my computer is too old and it can't sync my phone without getting a newer version of iTunes, which it can't support. So when I look on my phone to see if the playlist or songs showed up, there was nothing. But I also don't see a cloud with a download symbol because since they were transferred from my computer and not bought on iTunes, they were not on iCloud. That would mean I can't see them on my iPhone because they are not on the cloud. Is there any way I can get those songs on my iCloud/iPhone without getting a new computer?

I do this all the time just copy / paste in itunes, but if you have a really old computer like XP, Microsoft doesn't even support that OS anymore so no newer software versions like Itunes will run on that anymore since support is dropped.

You can sync your music to your phone using Winamp.
http://www.winamp.com/

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