Many of this projects share holding rewards to holders according to their rules or You will need to install their personal wallet and hold the tokens there.
If you will receive a coins from airdrop most likely they are using ETH contract.
So better suggestions to give is ETH wallet like myetherwallet,trust,imtoken and the browser extension which meta mask.
Don't forget that other wallet also have their own blockchain that altcoins have their own wallet to be downloaded.