as a far as i now only ECDSA is vulnerable to them man, it's a part form the hash fuction to have the private key, but aside form that part the other are quantum proof, but perhaps in the future quantum computer can break sha256 and more, at this point you should be worried about your bank account
ECDSA is used to hash public key from the private key. If someone have your private key(when you make a transaction), your private keys can be compromised but it isn't that fast either. Just use a new address after every transaction and you will be fine.
If ECDSA were to be able to speed up the hashing process, it won't matter, the difficulty will even the effects out. ASIC would likely be thousand times faster than quantum computers either way.