The two general types of Bitcoin wallets are offline and online.
Offline wallets store your bitcoins on a computer and they do not require internet connection. However, such wallets require a lot of space on your hard drive and your constant attention (e.g. it is recommended to make backups weekly).
An online wallet requires you to be connected to the Internet. You have to enter your login and password to access your wallet from any device and you don’t have to worry about its maintenance.
If you choose to use an offline wallet, then we recommend to download and install Electrum. Run the program and follow the instructions.
If you choose to use an online wallet, then sign up to CryptoPay. It provides the best security and utility among other online wallets. First, visit the signup page, enter your email address and choose a password. Second, check your inbox, look for a message from CryptoPay and confirm your account by clicking on the confirmation link in the message. All done!