You will be absolutely fine. You are allowed to enter France for up to 90 days without a visa so have no reason to declare it. Your passport contains no link with your criminal record and the French are not able to access our UK police national computer.
The EU is bringing out ETIAS, an electronic visa waiver like the US ESTA, at some point in 2025. That will ask you about your convictions but is currently not operational so nothing you need to worry about for now.