Omaha has many more vacant apartments than most places around the country. This gives you some flexibility as a prospective renter, because you don't have to time your search just to have a chance of finding a good place. At any time of year, you should be able to find a decent apartment in Omaha in less than six weeks.
Omaha landlords are usually very eager to try and fill their vacant apartments. As a result, in some ways you may have the upper hand when looking for an apartment. Don't be afraid to try and negotiate a little bit when moving in, as you may find landlords more flexible than you expect.
Omaha is a great city for cycling, with bike lanes and paths cutting through a lot of the city. However, the constant elevation changes can be difficult if you're new to cycling. If you need to get around quickly, the Metro Area transit service provides excellent local bus service.
Omaha is a cultural hotbed, with several great museums, including Love's Jazz and Art Center, and the Joslyn Art Museum. Beautiful parks also abound, such as the Gene Leahy Mall and the Heartland of America Park. The Old Market is a beautiful taste of the old world, complete with a farmers market in the summer. The Crescent Moon is a German beer bar, and the Lemon Drop is a more quintessential American bar with pool tables and music.