Hi amy0385,
First of all congratulations!
Like G.Mac, I would also like to suggest the Arbutus brand. This is the one that I own, Arbutus Propeller Mens Automatic Watch AR0055BB:


For a price that is well below your budget, you get:
A day, date, month calendar;
Leather, with deployment buckle with push button;
24 hour indicator with moon/sun phase;
Display back.