A Local or Online Bitcoin Wallet
Whether you use a local or a online Bitcoin wallet does not matter. Maybe the 23GB of Blockchain download size for the local Bitcoin-QT wallet is turning you off. If so, then you could always get an online bitcoin wallet from Blockchain.info or XAPO that simply not require anything to be downloaded.
Your Wallet Address
This can be found in your wallet software or your wallet page (if using an online wallet). The wallet address is usually very easy to find within the interface and is a Base58-encoded string similar to this one: 1C4VyLXYfidP1uua2CLcTvYiEvJYmU1CGH
