Hey Pete, thanks for the comments. To answer your quetion simply, what I did to get those drum sounds, was take advice from the good people on this site. I "hounded" Tim with relentless questioning!!!!! Since everyone was so good to me with helping out with my questions, I think it's only fair that I do my best to help you out.
First off, the drums right now are completely dry, with the exception of the kick which has a hint of compression on it to make it a little snappier. Here is how I mic'd t5he kit:
I started off doing the 3 mic technique, which is basically 2 overheads brought real close in to the drums and in-phase with each other. (do a search and you'll find the link) and a bass drum mic. This produce "ok" results and I would definately recommend it to the novice recorder. I decided to move the mics out (away from the kit) a bit. The obverheads ended up being 4' away from the center of the snare on each side. Also the boom stands were directly in front of the kit with the overheads looking at the hi hat (angled slightly toward the snare) and the floor tom.
The bass drum was tricky. The best piece of advice I can give you, is build a bass drum tunnel with heavy moving blankets (THANKS TIM!!) The more you isolate your bass drum from the rest of the kit, the more you can do with it (compression, eq) BUT you should ALWAYS try to get the best possible sound to tape. Don't try to "fix it in the mix"!
The bass drum mic was positioned just outside of the resonant side hole looking at the beater. What really helped out with the bass drum, for me, was renting a Klark-Teknik pre-amp. I would recommend renting a solid pre-amp to capture your bass drum, if you can get one.
Basically for the toms, and snare I started the same way. Mic 2" above the rim, 2" in, looking at the center of the drum. I just tweaked from there. Alot of people like to put the mic right on top of the snare, like 1" above, 1" in, but that just sounded to choked for me.
Basically, the majority of your drum sound should come from your overheads. I believe you said you had SM-81's, which IMO is a solid overhead mic. I know it sounds simple, but throw your overheads up, and blend the rest of the kit in with them. One other note, it is crucial when mixing down your drums to mute your toms when there not beinmg hit. You'll hear in my sample (toms not muted yet!) at some point the cymbals sound clangy and mid rangy (is that a word?) It's because I haven't muted my toms yet. That is the second great piece of advice I can give you (THANKS AGAIN TIM!)
So anyway, feel free to ask more questions, I'll be happy to answer what I can!