Beitzah 12: Holiday Gift-Giving

Again, more Beit Hillel vs. Beit Shammai. This time, what can be carried from the private domain to the public domain. Including a child, including a lulav. What is the focus of their dispute? Might it be about what is usually permitted and can be extended? Or is the dispute over a difference between Shabbat and yom tov? Also, giving gifts to the kohen on yom tov - another Beit Hillel/Beit Shammai dispute. How far does that concern extend regarding other gifts? What if it's a matter of simchat yom tov? Plus, a couple of stories illustrating different opinions of what can and cannot be done on yom tov.