There’s a quick example of using different levels of compression (in conjunction with grouping) to bring out punch/snap/space here…
…which features a before/after comparison, although I’m sure there’s many detailed tutorials on ‘YouTube’ with a step by step approach which would be really useful to you so that you can gradually hear the difference between each stage etc.
I found the quick overview/advice above inspiring as its forced me to think more creatively about ways in which to use compression (i.e. such as using different types and settings of compression at different stages in the signal path) rather than just overall compression on drums period.
What you are trying to achieve is much easier with something like SSD as it has heaps of gorgeous room ambiance (if you want it) which makes the compression effect(s) much more obvious to pick out, but as others have mentioned it only takes a moment to process yous samples with a decent ‘room’ IR/verb to gain access to a similar sound.
I’m a noob when it comes to doing anything clever/sophisticated with compression, but having recently snagged a copy of SSD I’m downright intrigued now as there seems to be so much you can do if you have a pile of funky drums sounds to play with!
Reading some good quality theory is mega helpful too (if you’re a book worm like me) but considering the depth of information available online these days a good search through say the ‘Sound On Sound’ archives should give you lots of ideas (they have great articles/tutorials).
Speaking of SOS, Mike Seniors book Mixing Secrets For The Small Studio is packed full of useful information (including why/when/how to use compression etc) and as a literary fiend I couldn’t recommend that enough! Good luck with the compression experimentation anyway, I agree totally that exploring and listening is the way to go!