My first PC, bought in late 1986, was a Leading Edge Model D, with two 360K floppy drives and no hard drive. I wrote a script to put COMMAND.COM and some other key files on a RAM disk on boot so I didn't have to keep the DOS floppy in the A: drive all the time. IIRC they had come out with a model that had a 20 MB hard drive but it was more than I could afford.
MIT, where I was at school then, had some IBM PC XTs with 10 MB hard drives, but most of their computer resources were time-sharing DEC VAX machines. You could go to one of several computer labs to get on a terminal, or even dial into them--I did the latter from my PC (the one above) using a 2400 baud modem, which was fast for the time.