Cable/desk management for 2 work laptops + personal PC without KVM over IP?

My employers don't allow enabling remote desktop access (RDP), so I've always relied on a KVM switch to run my personal machine alongside J1.

The problem now: I've been running 2 work laptops + my personal computer (2 screens) for about 2 months, and I'm worried about slipping up and getting caught. for example, letting J1 hear J2 when having parallel meetings.

Being from LATAM, it's not easy to get my hands on a trustworthy KVM over IP like a lot of you use. Most of them are from a shady company or REALLY expensive.

Adding another regular KVM would just make the cable mess worse. I already have way too many cables to manage.

What are your best tips for handling 3 laptops + 2 screens on the same desk?