Which OS would you recommend for performance and stability?

For performance it depends on your computer only, not the operation system.

With Xeoma you can choose the OS you like best.
If you know Linux, probably it is the best for security, performance and stability.
While Windows 10 is not actually intended for servers, this is one of primary operating systems that we test Xeoma thoroughly on.

But Xeoma works the same way on all operation systems.