First of all, if you're planning to set up and/or tune your own Webers, one should already have a thorough understanding of how they work, and the numerous calibrated components to be dealt with. With any luck, the carbs were purchased with a reasonable baseline for the intended engine. If they came secondhand, then your work should start with getting them properly configured for your application.
While they're old as dirt, the first book(s) one should read are the series written by the late John Passini; Theory & Operation, and Tuning & Maintenance (or similarly worded titles, as I'm working from memory here). The Weber factory publication, Weber Carburatori Assistenza Technica (in English, pt. no. 95.0000.54) is also a worthwhile read and includes charts for sizing (1 choke to 1 cylinder and feeding multiple cylinders) and also specifications for all calibrated parts.
I too have been telling people for decades that most carburetor problems are electrical! I'm also in complete agreement that "tuning the carbs" (ANY type, configuration or quantity) starts with setting the valves, ignition and timing to specifications.
Furthermore, verify that the fuel level in the float chambers is correct; here, I'm somewhat less concerned that the level is correct to the millimeter, than I am about ALL the levels/floats being exactly the same. If these vary, then, to use the OP's analogy, it's like getting dressed in the dark, only you're in a stranger's closet!
Everybody knows the engine should be warmed up, but that IS NOT DONE by idling in the driveway and grandstanding the throttle for 10 or 20 minutes! You want the engine to be stinking hot, like after a 30 minute run at speed down the freeway. Have all your tools and procedures laid out ahead of time, so when you get back, you can hit the ground running.
If the carbs were recently serviced for any reason, then the balance of the throttle plate action on multiple carb installations should be verified. I find these CarbTune units, intended for motorcycles useful for this. While calibrated in Inches of Mercury, they are actually dry, and those are stainless steel slides shown in the manomometer tubes. If your engine has ever sucked up a slug of water, or God forbid, (real) Mercury, you'll appreciate the innovation behind these!
While it looks like these are way off, this picture froze the moment in time of each cylinder's position in the combustion cycle. If ALL cylinders hit BDC during the intake stroke at once, you'd see they were perfectly matched (but what an unbalance beast that would be).
Now that's a good primer, and I too am looking forward to more installments by frenchyd Dork, as you're never too old to learn new tricks, and I am certain that in those pages of notes, there are tips we can all benefit from.