Coinbase.com is considered one of the leading wallets for bitcoin as well as buying and selling them there. It also offers a wallet for Etherium, another crypto-currency. It offers quick and reliable transfer of your Bitcoin and Etherium between other Coinbase users as well compared to the 30 minute wait it usually takes to transfer to outside wallets. It offers good referral amounts. For every person you refer that buys $100 or more in bitcoin (Doesn't have to be all at once). You and they receive an extra $10 towards your bitcoin wallet. Check them out by clicking here.
Bitalo.com is also a good wallet. It's Euro currency based but does also offer USD for referrals. This one made my list because of its referral offer. However good, it does have its catch. This one offers $5 USD for every person you refer up until you reach $30. After you reach that the referring really doesn't help you anymore. So I still suggest sticking with Coinbase, but if you want to make a couple quick bitcoins just refer a few friends. Click here If you want to take a look.
As for what to do next look around and you will find it here. If you're starting off with no money I suggest checking out the Faucets Category here in the blog. It will help you earn some bitcoin.
BTC Getters Blog
Self entrepreneur. Putting the need to know of bitcoin out in every bodies reach