Wazirx is one of the top crypto currency exchanges in India. It is very easy to use and has low trading fee. If you are a new user. You need to register and complete KYC process. Once the account is approved which is instant, you will be able to transfer fund in your account and start trading.
Coinbase is also very easy to use platform for crypto trading. It gives more power to user by holding crypto in the wallet. So, later if you have decided to move the crypto in cold storage wallet you can transfer from your Coinbase account.