Convert to audio to my Computer
 

I am looking to borrow, of rent a Reel to Reel tape recorder, to convert old audio reel tapes to files on my puter..

Call different libraries, you might get lucky and find one.

There area few listed on CraigsList. I am assuming that you have suitable inputs on your computer and the suitable software to make the files. Note: this will require lots of time as none of the hardware/software that I have seen is automatic, you need to start the tape player, start the software, then stop the software when the song ends, save, etc. and then repeat. This is why I never got around to taking all my vinyl to digital files.
Good luck with your quest.