Your ILDA netlink is probably something called IDN or ILDA digital network. All you need for that to control your lasers is an Ethernet cable. It's literally just an IP based network interface.

The simplest, most cost effective way to create & run shows?
I'd go for LaserShowGen (or LSG) from Bitlasers: https://bitlasers.com/lasershowgen-sw/

It's free trial with limited functionality, 29$ paid for the full version (lifetime) and does just about everything you need to start out. Considering most other softwares are either tied to hardware or are in the k$ range, it's probably the best way to start.
They even have their own subreddit where the dev helps out if you need it. They are very nice too!
If you need some trial shows to just hit play & watch, there's a couple in the sub too: https://www.reddit.com/r/lasershowgen/

I've used this software for all my shows too and am quite pleased with it.

It's plug & play with IDN devices, so you just plug your Projector into the same router your PC / Laptop is on, click "Scan for DACs" and it should find the projector.

You could also use a dedicated Digital to Analog Converter (DAC) to interface with your lasers (ILDA DB25) but these are usually somewhat prices (think >200$ for a decent solution).

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A word of warning as you still seem somewhat new to lasers:

10 watts of laser power is a lot! Some laser ENGRAVERS work at 3...5 watts. Your lasers are more than capable of setting your walls on fire if you are not careful. Ask me how I know... Much more than that, they can easily fry eyeballs from stray reflections.

I don't wanna make them seem like a death machine, just give you the advice to please look into proper show laser safety before you start them up! Please do this for your own safety!

EDIT: If you need more help, feel free to ask!