I will be changing the hard drive to a new one but I'm not sure which Linux distro and the self custody wallet that works on x86 Pcs or it doesn't matter?.
What matters in the wallet-selection is the compatibility between the offline and online wallet software's transaction export/import process.
For example, your dated machine may only be able to install old versions of modern Bitcoin software while the online machine is capable of the latest versions.
In that regard, the exported transaction to be signed by the offline wallet may not be compatible with it.
Electrum for example, used serialized raw txn but switched to PSBT later on. (
take note of that)
You can even mix and match offline and online wallets as long as the transaction export/import is compatible. (
e.g.: Bitcoin Core, Sparrow and Electrum's PSBT)
I do have a cold storage already, I just felt like doing something with the old PC since it's just sitting at home doing nothing..
Distros that support 32-bit may be easy to find (
use search engines),
However, installing the wallet of your choice will be your biggest hurdle here.
Once you decided on your OS and wallet, you could try to install it but will likely encounter issues with the wallet's dependencies.
You may try to post a new topic
here or in the specific
distroswallet'
s board or in the Linux Distros' forum
onceif you encounter an issue. (
you will)