Welcome aboard!
There are various ways to go about this.
For Lumen measurements some type of home made Lumen – Tube – Box – Sphere.
Use a Lux meter to measure output, and a conversion formula – derived from making readings against a known light source.
Not sure if any of your light meters can act as a substitute. I used to use an incident meter and ceiling bounce to compare light outputs.
A device can be constructed to read out directly in Lumens. Not the easiest thing to do.
Here is how I did it.
Or Purchase one from Texas Ace if he still has parts to build another.
PWM and waveforms can be looked at using a computers sound card and some free software.
A simple and cheap Photo Diode circuit can be constructed to used to convert photons to volts.
At the top of the thread are links to other threads that talk about this.
Runtime graphs require some sort of logging software or device.
There are Lux meters with data logging capabilities.
and
Or the Photo Diode circuit can be connected to a logging device that can sample the voltage at specified time intervals. There are various devices that can do this.
Some have done this with a raspberry pie. I use PICO oscilloscope data logging for my PICO Scope. Then graph it in Excel or Libre Calc.
I did my first Runtime charts by using a lux meter, a timer, and video. I’d play back the video and graph the time and output. This got old in a real hurry.
Keep poking around and you will find various folks who do this. Terry Oregon, dozz, HKJ, and others.
Good luck falling down the measurement rabbit hole.
All the Best,
Jeff
Also your spectrophotometer goodies should be able to get you color temp readings if they can read from a light source as opposed to a print.