I did the same thing to replace my drivers door handle.
Removing door lock cylinder without key.
You must be able to do it without the key.
Then you can pull the lock cylinder tumbler out the other side.
You drive the roll pin out and the lever arm comes off of the tumbler.
I didn t get a key with mine either.
How to remove a door lock without a key.
Look for a small set screw at the base of the handle.
Remove this screw using a drill or screwdriver.
I think there is a roll pin on the back of the tumbler that holds it all together.
Unscrew this plate and remove the latch from the door if possible.
At this point the square tab on the spindle is aligned with the square.
In case you lack the original key you have to replace the complete ignition switch assembly instead of just the lock cylinder.