Simplicity is breadwallet's core design principle. As a real standalone Bitcoin client, there is no server to get hacked or go down, and by building on iOS's strong security base, breadwallet is designed to protect you from malware, browser security holes, even physical theft.
Control over your money
This wallet gives you full control over your bitcoins. This means no third party can freeze or lose your funds. You are however still responsible for securing and backing up your wallet.
This wallet uses SPV and the Bitcoin network. This means very little trust in third parties is required when verifying payments. However, it is not as secure as a full node like Bitcoin Core.
The developers of this wallet publish the source code for the client. This means any developer in the world can audit the code. However, you still need to trust developers of this wallet when installing or updating the final software because it was not built deterministically like Bitcoin Core.
This wallet is loaded on mobiles where apps are usually isolated. This provides a good protection against malware, although mobiles are usually easier to steal or lose. Encrypting your mobile and backing up your wallet can reduce that risk.
Prevents spying on your payments
This wallet makes it harder to spy on your balance and payments by rotating addresses. You should still take care to use a new Bitcoin address each time you request payment.
Discloses limited information to peers
Peers on the network can log your IP address and associate your payments together when receiving or sending payment.
Tor not supported
This wallet does not let you use Tor to prevent attackers or Internet service providers from associating your payments with your IP address.
Full control over fees
This wallet gives you full control over fees. This means that this wallet allows changing the fees after funds are sent using RBF or CPFP. This wallet also provides fee suggestions based on current network conditions so that your transactions are confirmed in a timely manner without paying more than you have to.
Take time to educate yourself
Bitcoin is different from what you know and use every day. Before you start using Bitcoin for any serious transaction, be sure to read what you need to know and take appropriate steps to secure your wallet. Always remember that it is your responsibility to choose your wallet carefully and adopt good practices in order to protect your money.