Answers to your questions;
1) You tell the hospital receptionist that you want to consult with a Gynaecologist.
2) Your main concern is to become
pregnant and have a baby.
3) You have to be concerned about both , cost of procedure and success rate. You may even ask about the time frame , how long does it take patient to be successful.
4) There is nothing known as "the best" in Medical practice. You may be able to conceive within the first month and another patient may be filing a court case against the same doctor for "deficiency of services".
5) By asking question no. 5 you have given an oblique hint that yours is a difficult case but your expectations are very high. So the Doctor should be careful.
6) The doctors can only make an attempt to address your problem with the existing Medical knowledge. They don't give Guarantee and Warranty.
7) For this question you can consult with a Gynaecologist on Practo.