Believe me, if there's no safe way to secure a dog on a bike, I'm not going to do it. I've seen people riding w/dogs-including one guy on a trike w/a basset hound on either side complete w/goggles and helmets, and have seen some things that are made for transporting dogs-including a trailer. But, having no experience w/this myself, I decided to ask here how to SAFELY transport a dog as I stated in my original post. If it's not safe, then that's all I need to know.
As to why I'd want to take a dog w/me is simple. I don't work. I have horses, and spend the majority of my day out at the farm where I board. I do what's called self care. I don't pay full board since I buy all my own hay and feed and care for them myself. I save quite a bit of money taking the bike to and from the farm. We are saving up to get our own land so I don't have to go back and forth to the farm everyday. And, I'm not going to get a dog and leave it at home all day long. I lost my dog over 2 years ago, and miss the companionship they bring.