Chainlink is an ERC20 token developed at top of Ethereum. It can be stored using any of your Eth address.
In simple words, if you are using Eth wallet that gives you your private key, then you are fine to store linkchain or any other ERC20 token.
I advice you to use MEWconnect to create a secure wallet. There do exist many other alternatives but i think this the best friendly use wallet for ethereum, also for security reasons.
I don't know about Abra wallet.