We take Turtle on the Motorcycle all the time. The only thing that limits us is it depends on where we're going. Most places here do not allow dogs inside so I can't take her into the shops/store/restaurants we're going to then she has to stay home. But she loves to ride. I put her in this type of bag and put the shoulder strap around my body. I sit the bag on the seat between my husband and I.
Varoooooooooooooooooooooooom