The best advice is to fire that printer, and find one that will accept a press-quality PDF without converting to outlines. Much more than just bullets and numbering gets lost in that process, and it's best avoided altogether.
If that is simply not an option, second best is this method:
Outlining Text for printing purposes is a no-go. It does a huge damage, as
- you will loose automatic numbers,
- you will loose automatic bullets
- you will loose all paragraph rules
- you will loose all underlines
- you will loose all strikethroughs
- you will loose text frame borders
- you will loose text frame color
- you will loose automatic hyphenation on some points
- you will get problems with text wrapping
- you can't outline text on master with markers or text variables
If any printer requires to outline text, take another printer. Any printer can work with a PDF/X file. If not, run away.
Text outlining is only for design purposes like filling letters with an image or transforming letters to another drawing. But outlining text is not supposed for production.
Tell your printers to cop on and accept press ready pdfs with live text. It's been the industry standard for about 10 years.
Do yourself a favour and find a more modern printers.
If that's not an option, you have the answers above.