The best way to carry bicycles on your 10th generation (2009, 2010, 2011, 2012 & 2013) Toyota Corolla with out using straps that can damage the paint is by using a bike rack (such as the Inno INH305) attached to a trailer hitch. Check out my Curt trailer hitch installation guide by clicking on the text link or thumbnail image below.
Toyota Corolla Curt Trailer Hitch Install Guide