Actually, I've never heard the term "self-starters!"
In my current school, the whole school gathers in the gym for morning announcements and flag salute, then heads to class. We start the day with attendance, passing out, collecting, and sharing reading logs (or other sharing).
In my previous school I had a morning "warmup" that kids did while I took attendance, and then we discussed.
Do I shake people's hands, etc.? No. Do I smile, make eye contact and say hello, or ask them how things are going, etc.? Yes. Do I go through the day's plans? No. I simply have a schedule written on the board that they can check if they want to know what we are doing that day.
Usually, the first 15 minutes of class is all about "morning business," whether it is passing out, collecting, attendance, questions about homework or upcoming activities, sharing, or whatever needs to happen.