These are the Best Bitcoin Wallets available on Android
5- Green Address
8- Simple Bitcoin
10- Bitcoin Wallet
You can open a Bitcoin account by creating a wallet which is like a Bitcoin equivalent of a bank account. It allows you to send and receive Bitcoin. You can open a wallet by installing a software wallet on your computer or using a web wallet that is hosted by a third party.
You can download wallet software at https://bitcoin.org/en/choose-your-wallet or for third party hosted wallets you can use various exchanges or use https://blockchain.info/wallet to create your wallet.