Any decent dynamic and sensitive drummer  (rare)  will simply do this themselves.  I usually play the verses a little quieter and hit the choruses a little harder, all just in the way the dynamics are used in the player. (no one seems to be factoring that in here so far)  This approach requires no one to alter drum levels on anything.  In fact all band members should be doing this in some form or another.
 
A good trick as well is to use a small mono Auratone type speaker down at low volume to check mixes at various parts of your music.  Any slight out of balance situation seems to sound much worse under these conditions.
 
Not sure I completely agree with Herb regarding bass EQ being the same all the way through a song.  Hey why not do the opposite and change the bass EQ from verse to chorus slightly.  It will still sound like the same bass but have slightly more impact in the choruses as a result.  I have done this in a few situations and it was very effective.  Great way to lift a chorus slightly.

Jeff Evans
Any decent dynamic and sensitive drummer  (rare)  will simply do this themselves. 

I am sensitive to that statement....

Where the deer and the envelopes play... Where seldom is heard, and verse that includes a loud word? And the mains are all happy each day.

+1 for automating the EQ on a track. It's not something I have done very often, but it does work in some situations. One situation is when you've thinned out an instrument with a high pass filter in order to make it sit better in a busy mix, but there's a quieter part of the song where this instrument takes front stage. You don't want to showcase the "thin" version, so automating the filter's cutoff to bring more of the lower frequencies back into it at this point makes sense. If you have EQ's with automatable bypass switches, you can just set up a separate EQ for each part of the song and bypass the on/off of each if that's easier.