The family thinks there is no need to keep going to appointments for premature beats. How should we discuss further arrangements?

Focus the discussion on a clear follow-up plan: Ask the doctor to explain when the next appointment should be, what changes warrant early contact, and which questions can be addressed through existing consultation channels. You can explain to your family the concerns that remain unresolved for you, and also listen to their difficulties with time or costs related to accompanying you. Whether to continue evaluation should be decided together with a healthcare professional, not based solely on family opinion or momentary worry.