It's exactly how you described it, you still can receive funds into your old addresses however it's highly recommended to use the new addresses, It's mostly a privacy matter so people will find hard time to link everything back to you.
Ok, perfect!
I found a iOS wallet called "Alta Wallet" (a desktop wallet is available too), which supports Bitcoin, Ethereum, Litecoin and Dogecoin, has a built in exchange and you can create multiple wallets (not just multiple addresses) So you can have like a wallet called "mining" with BTC, ETH, LTC etc. and a wallet called "donations" with BTC, ETH, LTC etc. and you can easily switch between them!

Pretty unique...
https://itunes.apple.com/us/app/alta-wallet-bitcoin-wallet/id1154367060?mt=8Have you ever tried it?
