Bitcoin Wallets
There are two types of wallets when working with digital currencies, company wallets and private wallets.
Company wallets require information from you, this allows you to purchase and sell bitcoin at your will.
Private wallets allow you to secure bitcoin yourself, free to download and no registration required. The down side is, you cant purchase bitcoin from them(though, some have some neat features that will allow you to purchase bitcoin in various ways).
Here you'll find a list of some notable bitcoin and digital currency wallets.
Company Wallets
Coinbase - This wallet has been in the game since the early days of bitcoin. Recieving investments from NYSE, Andreesen Horowitz and other well known institutions. Read up on it here.
Coinbase acts as a wallet, merchant processor and fully licensed US licensed exchange! Click the image for a referral link if you'd like to support me, otherwise visit Coinbase.com!
CirclePay - Circle allows you to purchase bitcoin with ease and within minutes! Mostly for the US, but expanding to other countries as well. Circle recieved investments from big names such as Goldman Sachs Breyer Capital and many more!
Circle acts as a wallet, purchase and sell instantly! There is a limit for first time users, limit is raised the more you use them!
Private Wallets
Exodus

Visit Exodus.io to download!
Multi-wallet for Desktop &Mac
Built-in exchange, allowing you to exchange Bitcoin for other digital currencies instantly and securely using Shapeshift.io!

Jaxx

Visit Jaxx.io or the app store to download!
Multi-wallet for Desktop, Mac and mobile!
Built-in exchange, allowing you to exchange Bitcoin for other digital currencies instantly and securely using Shapeshift.io!


Mycelium

Mobile wallet, locate local buyers and sellers in your area!
Great Security Features!
Mycelium in the app store!

There are many other wallet services out there, each with unique features and other digital currency wallets, the ones mentioned above are personally my favorite and easier to use. If you choose to use other wallets, be sure to do your due diligence, there are wallets out there that can steal your digital currency if not careful!