When your adult Tamagotchi character returns to Tamagotchi Planet, leaving her/his baby in your care, s/he takes...
Souvenirs
The souvenirs that the parent takes with them, when they leave, depend on the Tamagotchi Connection version.
For V3, s/he takes the two keys from the Town Hall, the medal from the School, the cell phone from the Parent, the BMX bike from the GrandParent, and all of the items s/he won in the Arcade games: skateboard, balloon, baseball cap, and teddy bear. I guess that's all s/he can fit in her/his suitcase.
For V4 & V4.5, s/he takes all souvenirs except the travel souvenirs, the gifts from the king, and the movie posters.
Gotchi Points, Purchased Foods & Items
The child gets to keep all of the parent's Gotchi Points (money), purchased foods & items, and credit for donations to the king.
Skill Points
For V4.5 the child will inherit about 10% of the skill points the parent had. Meaning, that if the parent's final skill points levels were 100-200-150, the child will get 10-20-15 to start with. I don't recall if this is the case with the V4; I think the V4 parent might take all its skill points with her/him.
