How do you juggle interviews while currently employed?

When in doubt, lie. Then use more lies to cover that lie. This is an important rule of life.

I would start lying now. Tell your boss you have something planned for the two later interviews. A doctor appt for your wife/baby. Then maybe a dentist appt or helping a friend with something. Then you get sick for first interview. This isn't even hard. You're better than this.

 

If everybody waited to take a vacation when it was convenient, not a lot of us would ever have a vacation...

I went through this just last year. I scheduled the phone calls after my normal work hours, which was well into the evening. I explained to the new employer my hours and my schedule and they were more then willing to work with me for the interviews. The phone interview went until well after 7 in the evening and the face to face happened late on a friday afternoon as it was easier for me to justify taking a friday off to have a long weekend.