Their hours
Each team member has their own working hours and time off under Schedule → Availability. Customers only ever see times that person is actually working.
Their services
Assign services to a person from the service, or from their profile under Team. Customers choosing that service see only the people who can perform it.
Their profile
A team member can have a photo and a short description, plus a portfolio of their work, shown to customers when they choose a provider.
When someone leaves
Remove their services so no new bookings are made, move any appointments they still have, and then remove them from the team.