I cant really do that as I am recording a live demo of the band, so the two tracks of the drumkit will have to do.
So... it's not the full band live to two track, so.. that means you are going to mix..?
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Since you've asked what to do with the comps I'd assume this is venturing into fairly new territory then. Some of your options would be use a comp on the snare, maybe kick, and expect to do a lot of trial and error zeroing in on something that's both usable- and an improvement to the kit mix.
The problem there is it means doing a lot of run-throughs with your band (or at least the rhythm section) to find and learn. That could be an extremely good exercise, or in reality a lot to add on to a given situation.
Another placement option would be on the stereo drum mix done after. Here you might be experimenting with some very low ratio (1.5-2:1 for example) and play with attack times in the 5—20 ms range and watch how variations in there tame or glue the kit a bit.
The kick and snare will likely drive the comp and small changes in attack speed will have large impacts on how hard it grabs, how much it kills their impact.
There is also the option to use one set to do a hard limit' effect- which can be quite a different sound than the gentle tucking in' above.
Since I'm this deep.. Might as well add in something quite universal regarding release in the typical 'low ratio compression scenario. Once having settled on a working front half of the setup you'll find in general a fast release is a more forward sound, slower 'pulls it back. Part of that is slow = lower volume (more time in reduction), but it's there as differences in the aggressive' effect for lack of better words. 'Quite fast can be similar to the limiting' effect..
And release can (and ought ?) to be quite song (tempo, mood) specific as well.