Doctor doctor

[LoopyLoupGarou]

Arggh! I can't get this out of my head! Can you help me please?

Do I go to the Doctor's (as in Doctor's surgery) or to the Doctors (as in the multitude of doctors who practice in the surgery). And does it need a capital letter?

So do you go to the Doctors'? That doesn't look right. Hmmmm....

I go to the Doctors' Surgery as there's a lot of doctors there. But I go to the Doctor. With a capital.

I may, however, be completely wrong.

I would have been tempted initially by "doctors' surgery", but I think the word surgery indicates the actual room where they see you, or in its other sense the session for which they are available (e.g. 'Dr Smith's afternoon surgery'). So, whichever of those two definitions of 'surgery' I intended, I'd go to the doctor's surgery, because presumably I'd only be seeing one of them. It might well be in the same building or at the same time as other doctors' surgeries though.