The private day
Hotel pick-up in Nairobi, drive to Amboseli, a vehicle safari with a guide, a Kenyan lunch in the park and, at the end of the day, a visit to a Maasai village. You are back about ten hours after leaving. The listing states that the group is private: no other participants. The guide is English-speaking.
Two days at a camp
The listing includes a safari on the first afternoon, a night at a camp with dinner and breakfast, then a three-hour safari the next morning, lunch on the way and arrival in Nairobi around 1 pm. There are two camp levels: standard or premium. The guide is English-speaking.
Three private days
Two nights on full board at a four-star camp, morning and afternoon safaris, and a return to Nairobi for lunch before the airport. The trip is private and the guide English-speaking.
Kilimanjaro as a backdrop
The listings mention Kilimanjaro as a backdrop. No sighting is guaranteed, of the mountain or of the animals: it depends on the day.
Which length to choose?
If you are short of time, the private day is enough to see the park. Two days add a night on site and a second safari. Three days give more time, with a four-star camp. Compare the durations on the cards before deciding.