First thing I'd do is see if it will start and run from cold on easy start - friend spraying it in to keep a good flow. If not then compression or more likely ignition or possibly big air leak...
I've known air leaks into the intake when cold which 'seal' as the general engine bay warms up, worth double checking everything on manifold for leaks - spraying wd40 around the manifold when the car is running..
Is the choke mechanism working properly...
If you can be ar5sed, then disconnect the fuel pipes to the carbs and pre fill them with fuel from a jerry can...
Is it an SU type carb where you can lift the main needles with the air filter removed, before you attempt to start it. - I've known them 'stick' when cold when they get old and worn....
Cheers