For a split, you should be fine as long as you are controlling your private keys (Electrum is a good option). Here is the thing though, hardware wallet actually credit the new coin in your wallet (say BitcoinCash) however while using a desktop wallet, you will most likely need to export the private keys and import somewhere else (another wallet) to get your BCH and the same thing applies for Airdrops because they most of the time require signing a message. You really can't find a wallet for all that though, some wallets like Jaxx, Exodus and Coinomi (not recommedned) support multiple coins but not all.
Thanks OmegaStarScream. So I need two wallets that provide private keys in order to be prepared for a split or airdrop. And I need to export the private key before the airdrop/split in the wallet with the coins and import in another wallet after it, right?
