I would stretch the introduction over several days. I recently experienced an exciting first day at a new workplace and was introduced to approximately 50 co-workers. I was so overwhelmed that I forgot each and every name by the end of the day.
On the first day, introduce the new employee to everyone, but don't get into any details. After the great introduction, tell the new member only about health issues of the one or two persons they regularly and directly interact with.
In the following days, plan additional rounds of introductions. Visit one or two employees with special needs a day and let them explain how they want or need to be treated. This avoids the feeling of "I already explained that to you and you forgot or ignored my special needs." Do not disclose personal information about your colleagues, let them explain their needs to the extent that they are comfortable with.
You as the employer or manager should make a list of all employees with special needs to be able to create introduction appointments in the calendar of the new employee and tutor without forgetting about someone.
As mentioned in the comments, you probably shouldn't add details about any disabilities or health issues to that list. It's just a checklist of names you don't want to forget.
