Cost... depends on if your willing to camp in a hidden spot on the side of the road or a hotel. If your willing to cook your own food or eat at red lobster every night. People just pedaling can do it in around 45-60 days average mileage 80 miles per day.
Good website for bicycle touring is WWW.crazyguyonabike.com
better do your research
Live life as its your last day... it just may be
Learn to do it right or how to fix it later, quicker to do it right the first time.