You don’t need splitting the private key. Bitcoin has multisig setup. For example, you can setup your wallet such that 6 out of 10 private keys need to sign in order to transfer funds. Spread that 10 private keys out. Or 3 out of 10. Or 2 out of 5. Any n out of m.
>>nether+(OP)
You're right, gathering multisigs would be much safer than gathering SSS shares because you wouldn't be carrying around bits of the private key.
>>pshc+M3
Any single SSS share does not disclose any additional information about the private key (i.e. it is not like splitting the key itself into parts).