I want an automatic appointment system

I want a system to upload on my website which will allow my clients to book my services and once they do the time slot is booked Initial Consultation/Assessment (60 mins) : £60 Follow up Appointment (45 mins) : £50 Home visits (45 mins): £75 but will also be dependent on distance. Sports/ therapeutic massage (30 mins): £35 Sports/ therapeutic massage (60mins): £60 Acupuncture (30 mins) : £60 Body MOT (90 mins): £80 Since each has different timing so the soft ware sets it. Also I want it to send an email to both the client and me with an option to cancel or reschedule. Also I want to include the feature to pay online.