What are your preferred techniques for micing up your drum kit in the studio?
Currently I use an AKG D12VR suspended inside the bass drum about 4 inches away from where the beater strikes the head. I might use another mic very close to the front head to pick up a bit of sustain and low end ring.
Each tom tom has an AKG C414XLS about three inches above the top head pointing towards the centre of the drum. The snare has a mic on the top about two inches away from the rim pointing at the centre of the drum head and a mic very close to the bottom of the drum to pick up the snare wires.
I have an AKG SE300CK91 pointing at the hi hat and ride cymbal and a pair of AKG C12VRs directly behind my head (as an extension of where my ears are) that picks up the whole kit without over emphasising the cymbals. I have a large ambient hall in front of my drums that I mic with a pair of AKG C414XLII. With these ambient mics I can influence the perceived size of the room by adjusting the 9 pattern options on the actual mics themselves. They go from a very tight cardioid position right down to "omni" position which captures the room from both sides of the mic (if I want the biggest sound possible). This is a very useful thing about the C414 mics. The C12VRs have this option too so I can mess with the width of the overhead room if I want to.
Then I use a plug in (inside Logic Pro) called "Auto Align" that measures and corrects the phase of all these mics against each other. That does make quite a noticeable difference.
How does this differ between the live and studio environments?
In a live situation - I don't usually have control of exactly what mics the engineer wants to use - but we often have discussions about which mics might work best. I have the AKG D12VR permanently installed in the bass drum - so I always insist that they try that first (and they always like it).