HI there and welcome to the sport.
99% of all club events are held on weekends and we usually alternate which day to try to accommodate as many schedules as possible. The next one on the Calendar is June 12th, at Cedar Hill Park, here is a link to the listing.
http://www.geocaching.com/seek/cache_details.aspx?guid=26058f85-e43c-4483-a160-546a5f496ea6I hope you can join us for the event, it looks like it is going to be a good one, featuring one of the sport's premier hiders, worldwide, giving advice on how to hide and find caches. We will also have our usual Reviewer Q&A session and lots of great conversation with your fellow cachers. Be sure to find an officer so they can get you set up with your "official membership".
Thanks for your interest, I look forward to meeting you.
The limitations you see, are your own.