Given the overwhelming signal power available, you can certainly expect to receive many of the local signals.
Be sure to avoid any type of amplified antenna as well as any accessory amplifiers. There is simply far too much signal power available. Any consumer grade amplifier will overload, resulting in less, not more usable signals.
Rather than an omnidirectional antenna, I'd suggest a somewhat directional antenna such as the Terk HDTVi.
http://forum.tvfool.com/showthread.php?t=2828
http://www.amazon.com/Terk-Technolog...5567549&sr=1-1
Reflected signals in an indoor environment will be a bit easier to overcome using a directional antenna. You may even find a useful signals bouncing off a building that you have a view of.