The majority of bounties and airdrop pay in ETH based tokens. ie. erc-20 tokens. So you definitely need a wallet that supports ETH and erc20 tokens. I will recommend Atomic Wallet because of it intuitive interface and aesthetics.
Another interesting thing is that you don't need to add contract address of a token before it becomes visible in your portfolio. It process is automatic. In addition to ETH based tokens, you can store bitcoin, xrp, bnb and a whole lot of coins.