I’m not so sure about the cost analysis if you plan on using that as a justification. Bikes are probably cheaper to own & run than cars but not by as much as people think. For example, I’ve just had to replace my rear tire after 8000 miles (and on my bike most people only get 6000 ~ 7000 miles). The tire cost around $80 and then another $120 to fit it. I’ve also had 600 and 6000 mile services that totaled around $600. Unless you can do a lot of mechanical work yourself then bikes are not as cheap as you might think. Just a heads up.
One of the biggest arguments for having a bike IMO, is that it makes you more aware of your surroundings and therefore a better rider/driver. Modern cars can waft you along at 100mph in more comfort than your living room couch with as much sensation of speed. I’m convinced this is a major factor in the inattention displayed by drivers today, they are simply detached from any sense of danger. The first time you hit 60mph on a bike you are very aware the only thing between you and the concrete is your riding skills.
Grab a copy of Proficient Motorcycling. That spells out all of the dangers you will face on a bike and strategies for dealing with them. Trust me when I say there are a whole lot more than you realize and at first it is overwhelming. If you are the sort of person who is committed to improving their skills through continuous training then then slowly it will become 2nd nature to you to ‘read’ the road and you will be a safer rider because of it.