Multi-screen 2 USB-C laptops/2 Dell Monitors

Hello, I searched and could not find anything specific enough to determine the right solution.
I have 2 Dell laptops. One is a Latitude 5440 and the other is a Latitude 7530. Both use USB-C connections to a Dell Docking station.

Currently, the 7530 is connected to the docking station via the USB-C cable which also provides the power. The two monitors are connected to the docking station. One connection is DisplayPort and the other is USB-C at the dock to DisplayPort on the monitor. Both monitors are Dell U3415W and each have multiple connection options. I use a Logitech K750 wireless keyboard and M705 wireless mouse

The Latitude 5440 is a recent edition to the desk and I'd like to get a KVM switch that could be used to connect both computers to both monitors. Ideally, I'd like to connect them without the docks if possible but still get power to the laptops from the KVM. I've seen some that will power 1 laptop, but I've not found one that will power both.

I envision a single USB-C connection from each laptop to the KVM, then the monitors connected to the KVM, along with Network cable and other peripherals (e.g., USB Smart Card reader). I don't know much (anything) about EDID, but it seems important if you want your screens to stay the same each time you switch (which I do).

I've tried to provide everything I could. Hopefully that is sufficient information to guide me to the right product. FYI - I am assuming this is not going to be some cheap model KVM and that is ok.

Alright then, I appreciate your help and I'm glad I found this forum during my search for the perfect KVM to setup my new office with.

 

thank you for the info. With regard to network cable. Just meant i need to be able to connect to ethernet cable to provide network connection to both laptops

 

I was looking at this KVM. It "appears" to me that it will do everything I need. Although I'm not sure about the EDID emulation. Am I missing something?

VT4950 - KVM USB-C Docking Station Dual Host 100W Power Delivery Triple 4K Display. Link below.

VT4950 - KVM USB-C Docking Station Dual Host 100W Power Delivery Tripl – VisionTek.com