家庭医生和CLINIC are the same in term of your insurance.The difference is you need to book an appointment in order to see a family doctor but you can just walk in a clinic without an appointment.Not like in China,you do not go to hospital directly.Your family doctor will recommend you to a hospital if necessary.You family doctor or a doctor in a clinic can do a 全身检查 for you.
UHIP should cover most exam fee.Check the policy of your UHIP.