i simply used web wallet and some exchange sites like nova and cryptopia etc.
I am a big fan of web wallets however never recommend exchange wallets but web wallets are not that riskier as people argue. There are some web wallets which even provide facility of wallet backup so there is minimal risk of using them. Some of my favourite- BTC.com, Luno, etc.
Storing your bitcoins on a bitcoin exchange is never a good idea, as there are high chances of the exchange to get hacked and your bitcoins will be gone forever.
I usually store my bitcoins in electrum and sometimes on my android phone in bitcoin official wallet and rarely use the blockchain online wallet.