It seems that a lot of trink racks are designed for bikes that have a flat upper bar. My new "urban" boke doesn't quite have that. Will a regular trunk rack work for this? Any reccomendations? Not looking to travel great distances with this. Below is a link to my bike.

http://www.giant-bicycles.com/en-US/bikes/lifestyle/1272/29321/

Google Hollywood Bike racks. I have one I've been using for 13 years. 'No complaints.

You could use a bike beam or remove the front wheel, just don't forget the wheel. Unless your vehicle is high enough. The bike will sit at an angle.