Way to go!! Very impressive, but I definitely think it's doable. I do a similar commute a couple of times each week (about 60km each way) and it's not bad. The only thing I would really recommend is doing the commute a couple of times when you don't have to be somewhere on time (i.e., on a weekend or slow day at work). Experiment with different routes if you can on the weekends and make sure that you have the necessary tools to make a roadside repair. In my experience, the longer the commute, the more opportunities you have to get a flat far away from any repair shop!
Other stuff to consider - I use a backpack because that's what is comfortable for me, even over distances like this. However, some people prefer messenger bags or panniers. Even a small load can become quite the nuisance when traveling longer than a few kms. You'll have to experiment to find what works best for you. Make sure you get some decent lights if you'll be traveling in dark.
As for the bike, I would definitely get a road bike with road tires. Traveling this distance, you don't want anything to slow you down. Figure out what size you are and see if you can find something used. I know here where I live we have quite a few bike shops that carry really nice used road bikes that people sell back when they want to upgrade.
Finally, use this listserv. With bike commuting, you have to be willing to be patient, experiment, and put questions out there to others. The first few rides might be a bit rough or frustrating, and you just have to work through that. After a while, once you really know your route and how your body responds, it gets far more enjoyable.