I think restaurants tend to seat the last people at about 30 to 15 min before park closing.
For info on restaurants I would recommend the following two sources, both have menus and some opening times. Both also offer a list of all the restaurants at WDW:
http://www.wdwinfo.com/wdwinfo/dining.htm
http://allears.net/din/dining.htm
Also just reading along here on the boards will bring along a lot of info!
If you plan on eating at a table service restaurant, I would strongly recommend to get ADRs (advance dining reservations). While the end of January isn't high season, restaurants at WDW tend to book out a lot and you might not be able to find a place where you get a table when you just walk up on the day. At the moment you should still be able to get a lot of restaurants for the times you want, at least I did about a week ago, when I got mine for the last week of January
Have fun exploring the world of Disney Dining, there are some great places to be experienced!
