Looking for Reliable Bitcoin Purchase Options in India with Wallet Transfer

Is there a reliable way to buy Bitcoin in India, either with or without KYC? I’m aware of a few exchanges like WazirX, but the reviews are pretty bad, and it seems like the founders are struggling to keep things running smoothly. Also, is there any exchange that allows you to transfer your purchased Bitcoin directly to an external wallet? Do banks like ICICI create issues when wanting to transfer your money from your bank account to an exchange ?