You can remove specific details from email notifications sent to your clients using Email Templates. To edit templates, navigate to Settings > Email Templates.

You will need to add the attribute {% assign exclude_list = 'VARIABLE_NAME' %} right before the
{% include 'appointment_attributes' %} attribute found in each email sent to your clients. Replace VARIABLE_NAME with the name of the field you are trying to remove. For example, to remove price details, your attributes will look like: 

{% assign exclude_list = 'price' %}{% include 'appointment_attributes' %}

Here are the variables available to you:

Remove {% include 'appointment_attributes' %} from the template to remove all appointment information from the confirmation email (date, time, price, name of the staff member, etc.).