Some friends were early digital converts, in '84 and '85. I held out for a while.
The discs came first. One day in Exile Records in Overland Park, Kansas, I couldn't resist a relatively inexpensive used CD of Elvis Costello's "King of America" to perhaps replace my lousy pressing of the LP. This was probably the summer of '87. A couple of weeks later, I bought a Mahler Fifth Symphony on CD, attracted by the notion of being able to play the whole thing without changing a disc. At first, I played the discs at friends' houses.
I had about a dozen discs by the I actually got a Magnavox player, in the fall of '87. I still have the player.