As others have said, the first few weeks or months can be rough with limited sleep. I have twin 4 year olds so my experience with the early months was a bit rougher than most. It gets easier. Those first few months you might prefer to get an extra 10 minutes of sleep rather than ride in.

Like idc mentioned above, I also started riding to work to merge exercise with commuting since having kids because time became so limited. If it's important to you, you'll make it work. My kids think it's normal to ride a bike to work. I'm proud of that.