Transferring iTunes Playlist to USB While Maintaining Track Order

Hi there!

I've been searching around the Apple Support discussions and have not been able to find an answer to my question, so here I am. I'm trying to put a few of my playlists on a portable usb, but once I drag them into there, they lose the song order and are instead ordered by the original track number of the song on its album. I tried re-numbering the tracks to mimic the order in my playlist, but that didn't work.

Also, I noticed that iTunes has an Export Playlist option, but it looks like it just exports maybe the song information, not the actual music files. Do I need to add this to each of the playlists I transfer in order for them to played on another computer? And I'm not sure what the difference is between the four exporting options: Unicode Text, XML, M3U, and M3U8. If I need to add this to my playlist folders on my USB, which would be best?

Once I figure this out, should the playlist be able to be played on any other MAC in iTunes?

Thank you to anyone who might try to help! I can usually figure these things out on my own by searching the web, but I'm not able to this time.