IMPORTANT: If you think about to have your own wallet, be aware of the scams (people who try to trick you and steal your tokens from your EOS wallet) that exists! Check them here: https://forums.eoscommunity.org/t/list-of-known-scams-eos-accounts-involved-into-scam-and-eos-accounts-who-got-scammed
Top EOS Wallet Providers
The three top wallet we recommend on EOS are Anchor, Wombat and Tokenpoket
Hint: The EOS account you create is stored directly in the RAM on the EOS blockchain and not in a wallet. The EOS wallets are more like authenticators to sign transactions. As long you have your private key, you can use any of the EOS Authenticators (just insert your private key in the wallet to get access to your EOS account).
Create an EOS Account:
get-scatter.com/ (credit card)
How to Generate a New Key Pair in Anchor | EOS Nation | EOS Block Producer
Hint: If you create an account with the tiktok like dapp https://flair.fun/, you get an EOS account including keys for free!
Google Chrome plugin Authenticator:
getwombat.io/ (free account & trxs)
Web Services (This web services display your account on the blockchain and functions what you can do with it. If you use them, you need to confirm with an EOS authenticator):
eosauthority.com/dashboard (free trxs)
bloks.io/wallet (free trxs)
eosx.io/tools/account (free trxs)
Device - eMail Wallet (This is an exception. Your key getting stored encrypted on your device. It has an eMail recovery if you loose your device. Just login from another device. Advantage: You don’t need to know anything about blockchain. You can send instant and free tx. You even can send tokens to your friends email instead to a public key. Its a perfect wallet for non tech people)
dappaccount.com/ (free account & trxs)