I want to set up my old Laptop in order to use it only for Bitcoin and crypto currencies software (wallets, trading, etc).
Is there a special secure Linux distribution what is recommend to use for such a case?
If you're looking at a high level of security, then I would suggest any distro give you never connect that laptop directly to the internet. You would also have to be careful while using removable-media on it. Though Linux doesn't allow viruses to run very easily (segregated accounts, you should never run as root etc).

Headache, but sure worth it.