I personally use "Blockchain", it's just a wallet (not an exchange), fairly simple and straight forward, give it a go!
www.blockchain.info
I use blockchain to spend, and Mycelium on my android as my cold storage wallet when I was holding a few thousand as an investment. Mycelium is basically an app on my mobile and that's the only way you can access that wallet (and the recovery code they give you) and send money. Obviously you can put a password for each private key.
Also don't forget to 2fa your blockchain wallet if you choose to use that. If you're new and don't plan to put in a lot, just use blockchain.
I use a combination of blockchain.info, electrum client, and cold storage.
Ended up using blockchain, its gone great and im now getting into bitcoin mining
Ended up using blockchain, its gone great and im now getting into bitcoin mining

