Well, this was easy in the older version of MAMP that I had. You would just drop them in place, and they worked. I was having a problem with something, so I thought maybe there was an updated version of MAMP that would solve the problem. Sure enough, there was. So I installed it and went along my way. Then, I went back to the local version of my site, and it was completely busted.
I finally tracked it down to .htaccess files being ignored. So I opened up my http.conf file and went down to line 378, and sure enough this is what I saw:
<Directory /> Options Indexes FollowSymLinks AllowOverride None </Directory>
In the older version of MAMP that I had, the default for this value was All. In order to get .htaccess files working in the new version, I just had to change None to All, restart the server, and everything worked normally. Just thought I would share in case anyone else runs into this problem.