Budget? What are you plugging them into? There's all kinds of nice drum mic packages out there ranging from $199 to the sky. Although I could make a recommendation for any of the high-end kits, I won't do that. Some of the low-end kits are surprisingly good too, but the system you plug them into is probably more important.
I use CAD mics, personally. They're not the greatest I ever used, but for basic YouTube or live sound, they're perfectly fine. If you're wanting to record high quality, you're looking at $500 for a package, minimum.
http://www.americanmusical.com/Item--i-CAD-STAGE7-LIST
Get yourself an additional tom mic, and you're at around $240.
But you'll need a very capable mixer to deal with all those mics. IMHO, what you really want are noise gates on each close mic channel (you'll hear lots of ringing between hits otherwise, and are likely to get feedback). If you go for all those tom mics, then consider a multi-channel gate/comp rack unit, to connect to the inserts on your kick, snare, and tom channels.
With a good DAW, it'll have built in gates, compression, eq, etc.
My concern with this would be the computer you're using. You can have all that stuff built-in to the software, but if you're processor is not up to the task, it'll end up being a very frustrating experience (been there, done that). So you must be running a big Mac Pro tower with 16GB of RAM?
One of these days a Mac will have that much processor.
The mac pro's come with xeon processors which can have 6 cores also with the option of hyper threading and expanding to another xeon processor which would beat the pants of your amd.
+1 for the 604 im running them on my dw rack toms at the moment and are quite reliable and rugged
Mac?! What, no! I'm not a hippy.
You need more processor, rather than a ton of RAM (though RAM helps) to run a DAW with a bunch of plug ins.
HP dv7 with a quad-core AMD @ 2.8 ghz per core. 4 GB DDR3 RAM. More than enough power. One of these days a Mac will have that much processor.
604s are great mics...I got a 3-pack at GC for $270 (I had a killer coupon that if you're on their mailing list, they will e-mail to you every couple of months...was like $50 or $75 off $299 or more).
If I get another one of those coupons, I'm buying another 3-pack of 604s as well as a few more SM57s...can never have too many mics around! (they're addictive like cymbals and snares).
That Mac with a 6-core Xeon will run you about $10k...or my quad core AMD HP for $800 that does the job.