Considering that quantum computing could have an easier time attacking naked pubkeys on-chain (Taproot) than more ephemerally exposed pubkeys in the mempool (spending from Segwit), I am hesitant to use Taproot.
My cold wallet does not support taproot, but at least one of my hot (phone, Lightning) wallets does. Maybe someday I'll switch my cold storage over to it -- probably whenever I get my Lightning node up and running.
I read that taproot could be more vulnerable to Quantum Computer because they expose the public key while the other sha256 hash it. They argue that since QC are not good at hacking hashes this could protect the others address type till you spend them so they could be attacked only in the confirmation phase while for P2TR you have a long exposure of your public key in the block chain. I do not think this is a problem right now but I would like to hear some opinions of the great minds present out here ;-)
I started not long ago and I'm learning little by little. Taproot isn't mentioned in the videos I find to introduce new Bitcoiners (in my language), unfortunately. As soon as I read about it and looked into it more, I set up my cold wallet using that standard and already transferred my sats there.