I personally belief none of the 5 suggestions made by CryptoMauren should be considered as a safe wallet...
1. Blockchain
Blockchain is the technology behind Bitcoin's turnaround itself, so its superiority as a provider of
Bitcoin wallet is definitely beyond doubt. You can even see all transactions from all accounts,
whether it's Bitcoin acceptance or delivery.
The blockchain company is NOT the company that's behind the creation of the blockchain technology!!!!!!!!!
Satoshi is the one (or the group of people) that wrote the whitepaper and the first reference client. AFAIK, he doesn't work for blockchain.com (or blockchain.info)... Well, we don't know the identity of satoshi, but the odds of him working for blockchain.com are very small.
Blockchain.com = private company that specialises in implementations of the blockchain techology
the blockchain = the techology behind a decentral, immutable trustless ledger on which bitcoin was built
Blockchain.com != the blockchainBlockchain.info is a web wallet, which is inherently unsafe
2. Bitcoin.co.id
This one site can be regarded as the most crowded place to buy Bitcoin in Indonesia. Account
creation at bitcoin.co.id not only provides a wallet address, but also facilities for Bitcoin
transactions directly with Rupiah (via local bank payment method) and Bitcoin trading.
This is an exchange, which is even worse than your first suggestion
3. Coinbase
Coinbase.com is a Bitcoin wallet provider site based in San Francisco, USA. Coinbase's credibility
and functionality is not much different from Blockchain. But since Blockchain is a Bitcoin original
technology, it's no wonder Coinbase is a bit less popular than Blockchain.
Same as point 2...
4. Xapo
Xapo not only operates as a Bitcoin wallet provider, but also a Faucet site that can provide free
Bitcoin to its users. It also provides more convenience because users can directly enter Bitcoin
into the wallet that has been integrated with its Faucet system.
Same as point 2...
5. BitX
BitX is the second site that provides Bitcoin wallet as well as trading for Indonesian clients. But
unlike bitcoin.co.id, BitX does not accept digital currency storage other than Bitcoin. BitX itself is
now rebranding into Luno which operates as a global company and has branch offices in London,
Singapore, and Cape Town.
Same as point 2...