Summer is when you want to head to Ogden. This is when there is more turnover happening in the apartment market, giving you a better opportunity to find the right place for you. Start looking in June and you shouldn't have too many problems on your apartment hunt.
Ogden landlords want to make sure that you're going to look after the property that you're entrusted with. Having a strong, continuous and stable rental history helps prove that you're responsible. If you can't provide this, try to at least have a former landlord as one of your references, so they can vouch for how well you will look after an apartment.
Once you're in the busier parts of town, you can easily walk almost everywhere in Ogden. The most interesting points in town are located very near to each other, meaning that longer commutes are only required to outlying residential areas. Even these however, are served by the Utah Transit Authority busses that run through town.
Take a walk down 25th street for good shopping and dining, and take in the largest collection of historic buildings in town. If you have the means to get just outside of town, you can find hiking and biking trails that wind through the nearby mountains. Head to the Newgate mall for shopping and to take in a show at the movie theatre. 25th street is also where you'll find most of the best bars.