I think you should use decentralized exchange wallets for better safety or use any hardware wallet if Coinbase suspended India.
Coinbase.com which is what they are focussed on on this thread and it is a custodial wallet
Coinbase Pro which is an exchange.
Binance and Coinbase.com are both centralized and can control users funds on it.
There is nothing like decentralized exchange wallet, if a decentralized exchange is having a wallet, that means it is also centralized, decentralized exchanges should work in a way the coins transferred should be from seller's address to buyer's address without no third party address involved. What you mean are noncustodial wallets, noncustodial wallet is the best wallet you can use for the safe keeping of your coins rather than depending on a centralized wallet or a centralized exchange.