When mixing drums, I generally get the overheads sounding nice, which might take a bit of EQ and compression, and then I solo each individual close mic and work out where a mid-cut should be. So, on the snare top, a cut around 600Hz might sound good. On the bottom, a cut around 1K or 5K. On the kick around 200Hz etc etc.
Then I like parallel compression on the whole kit, and probably individual compressors on the kick and snare