Get SUM for same column but different relationships - mysql

Question

I'm working on this database for a pet clinic (learning exercise), and what I want to do is to get the SUM for the same column, but different relationships.
These are my tables (only listing attributes used in query):
customer (customer_id, customer_name)
employee (employee_id, first_name, last_name)
pet (pet_id, owner_id, pet_name)
performed_service (performed_services_id, visit_id, service_id)
visit (visit_id, customer_id, employee_id, pet_id, date)
service (service_id, name, cost)
This is the query that I've tried, which so far gets all the data that I want, but not the SUMS correctly, which I cannot seem to understand how to do (if at all possible). What I'm trying to do is fetch the sum for service.cost for each pets visit, and sum of service.cost for all the visits that the customer has had, later I'm going to add a where clause on the date, so that it only shows instances of the current date:
SELECT
customer.customer_name,
pet.pet_name,
visit.date,
CONCAT(employee.first_name, ' ', employee.last_name) AS 'Veterenarian',
performed_service.service_id,
service.name AS 'Treatment',
service.cost AS 'Price',
SUM(service.cost) AS 'Pet Total',
SUM(service.cost) AS 'Customer Total'
FROM visit
INNER JOIN customer
ON visit.customer_id=customer.customer_id
INNER JOIN employee
ON visit.employee_id=employee.employee_id
INNER JOIN pet
ON visit.pet_id=pet.pet_id
INNER JOIN performed_service
ON visit.visit_id=performed_service.visit_id
INNER JOIN service
ON performed_service.service_id=service.service_id
GROUP BY performed_service.performed_service_id
Any help would be appreciated!