Hi,
Both Intel and AMD run Cuelux fine. Starting from release 1.5.xx you will need a 64 bit CPU, but if you buy anything new that should definitely not be an issue.
I run an AMD Ryzen 3900X, but that is mainly because compiling software goes a lot faster with more cores. For Cuelux you are more than fine with a 4+ core CPU.
Perhaps a Ryzen 3600?
Greetings,
Bootsy