OK, start with a tuneup, put on a fresh fuel filter, plugs, make sure the air cleaners are clean, set the timing the best you can, and buy yourself a can of carb cleaner. Also, make sure you have fresh gas in your car. If you haven't changed your plug wires recently the last 3 or 4 years, put a new set on. They're cheap. And be sure you have at least 2 1/2 psi and no more than 5 psi at the carbs.
If its bogging right off the bat, either you got a vacuum leak, or your carbs are way off. Now, I need to ask you, are you running a progressive linkage? Are the carbs in good shape? Check your float levels on both carbs, be sure to adjust your float levels so you are barely have a trickle out of the level holes.
OK, well, start your car, idle her to about 800 rpm, might be loping or slightly rough if you have some cam timing there, but if she won't idle, let us know. Otherwise, Idle her to 800. Disconnect the vacuum advance right now, and plug it off temporarily.
Break out your can of carb cleaner, and where the intake bolts to the heads, spray along the mating surfaces. Then where the lower intake bolts to the plenum, then where the carbs bolt down to the plenum. If the motor automatically goes crazy and idles up fast, you've found a leak. I usually find them at the carb base, but they can be anywhere. Usually if theres a leak, its a vacuum plug removed and/ or vacuum line not plugged. Anyway, if you find any, fix the leak.
Now, lets start a check list here. We need to check for flooding, for leaness, for timing issues, for carb actuating issues. Now, take off your air cleaners, idle the car, get a mechanics inspection mirror, look into the throat of the carb, you should not see any fuel dribbling from the boosters. If you do, you have a problem with power valves or floats/needle valves. DO NOT PUT YOUR FACE OVER THE CARB AND LOOK INTO THE THROAT>>>>IT IS DANGEROUS!!!!!
If there is no fuel dribbling from the boosters, on your front carb, you want to screw the front corner screws on the metering plate in, bottom them out gently, then back our roughly 1 3/4 turns listen to you motor rpm idle up or down to maintain the 8oo rpm. Now go to rear carb on each corner screw on the metering plave, bottom the screw out and back out 1 3/4's turns. Now then readjust the rpm to 800, then back off the front idle aduster, you should hear a difference like its laboring, but it should not die. Now you want to idle off 1 Carb, not both!!!!! Make sure the front butterflys on the front carb are closed, if not, turn your motor off and adjust your linkage so it does close. Now, start her up, she should idle better. Rev her lightly, all should be fine. If all is well in your carbs, when you jump down on the throttle, they'll be a bog, which you can adjust out with your power valves, accelerator pump cam, etc, etc. Worse case scenario, a progressive linkage will be needed. Also, the timing will probably need to be reset.
Now, if your still bogging bad, start on your front carb, disconnect the throttle linkage, and squeeze off the fuel line, what we want to see if she'll run off 1 carb cleanly. have the rear carb hooked up to the return spring. See if she starts up, see if she'll run off 1 carb and rev up some....
Get back with us and we'll talk ya thru getting her straightened out....
Screaming Metal, I started with a bit of a tune up. Filter, air cleaners wires and all new last fall however I did replace the plugs. Now Fuel pressure...You said "be sure you have at least 2.5 psi and no more than 5 psi at the carbs." I have 6 psi...my pump is a "Holley Red". Bogging is right off the bat in my estimation. I am not running progressive linkage (see attached photos). I feel the carbs are in good shape visually. I adjusted the floats tonight. the front carb / front float was fine, front carb /rear float was also fine, the rear carb / front float was a tiny bit low & the rear carb / rear float was way high. I re-adjusted them all to a tiny trickle. (By the way timing is correct). So I started with your next paragraph of instructions (remember, no laughing). Vacuum advance disconnected and ideling @ 800, I sprayed carb cleaner on all of the gaskets, bolts, fittings and mating surfaces. To my surprise NO LEAKS. Made a mess of things though. Next... no dribbling of fuel from booster. Now comes the fun part (remember no laughing). I attempted to adjust the mettering plate corner screws (by the way they were set at approximately 3/4 to 1 full turn on average as found). I failed...I can not figure out what is the best setting for each screw. I backed the idle screws out so that the butterflies are closed and it will idle way down to 200 or 300 rpms. I don't know if this helps? I'm not sure where to set the corner screws...I suck at carb adjustments....Help! I can't test drive tonight because it's poring out and will melt.