Okay, I figured it out – I had to go into the database and change the URL in the options table to reflect the new URL.
I tried to import posts from one WP install to another using the backup plugin, which seemed to work well – the old posts are on the new site, but I can’t get to the admin section. It keeps redirecting to the old site. Anyone have any ideas on how to fix it? Did this happen to anyone else or am I just lucky?