To start  with:
*Bitcoin is a crypto currency and a digital payment system invented by unknown programmer or group of programmers under the name Satoshi Nakamoto. It was created in the year 2009.
*Bitcoin Wallet is a software program where bitcoin are stored. It allows you to send and to receive bitcoins. 
*Types of bitcoin wallet. 
1.Software wallet :These are hot wallets that requires the download of software clients to create and to use the wallet. Example is Mycellium
2.Online Wallet :They are also know as Web wallet. It is the easiest to use among all the hot wallets. Example is blockchain. 
3.Paper Wallet :It can also be referred as the cold storage system. It is a fancy term for printing out your public and private keys on a piece of paper. It is mor secured than using online or software wallet because you physically have your private keys printed on a piece of paper. 
4.Hot Wallet :They are stand alobe cold storage devices that generates keys on the fly while making a transactions. They are secured frm a regular malware because it generates private keys offline.