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?
I would just use Linux Mint with some good passwords. You're already being very safe using Linux on a separate mostly offline device.
Mint is considered the best Linux desktop environment by very many people and is ranked #1 at distrowatch.
Basically if you fuck something up you can probably figure out how to fix it in Mint without using the terminal, other Linux distributions are less friendly.
Mint also supports HD encryption out of the box with 0 issues or hassle.
There are also some tips for hardening any Linux such as blocking ports you know you don't need, google "Linux hardening".
Linux Mint is the best...