I started using my bike as part of the commute very recently as an insurance policy of sorts. If I miss the last connecting back to where I park my car, I just ride there using the MUP. Of course, I've elected not to take that connecting even when I can make it. Having a nice 8-9 mile ride on a flat trail, without having to deal with traffic, makes me more mellow around the house.
When it comes to making appointments for dentist, Dr., hair or whatever- make them for after your normal end of day takes place. Then when the boss tells you have to stay late, tell them that you have a conflict, and can't. Or if O/T is typical, tell them you need one day out of the work week where you can't stay late to be able make/keep such appointments.