Send/Sweep them to their respective wallets as fast as you can.
Not a good idea because the "tools" you would use to claim the shitcoin airdrops are usually quite risky to use. For example there are closed source wallets such as Coinomi which people usually recommend for claiming these shitcoins which is obviously very risky to use since it is closed source. Or the coins themselves could be malicious like the case with BTG that the shitcoin devs released a malware on their official website as the "wallet to use"!