Suggestions on Appointment Booking payment extension

Hi Everyone,

I am new to wordpress and I have been looking through the plugins but haven’t found what I wanted and was hoping for some help.

I need it to have clients able to:
1. log on so schedule is view privately
2. be able to select an amount of time, 30, 45, or 60 min that corresponds with a payment amount allocated to a start time such as 1:25pm
3. be able to select a min amount of days that this activity occurs
4. be able to select a payment method cash, check, credit card
5. invoice
6. clients are able to view the schedule
7. a wish would be that a client would choose for example 30 min but on the calendar it would be blocked as 45 min.

Basically i have a dog walking business that is going online and i want clients to be able to select the amount of time they want their dog to be walked, a min amount of days and be invoiced.

If anyone has any ideas please let me know