Hi mghohoo,
An 8-year-old with burning curiosities and creative interests, that's great stuff!
Having been a, er, "patron to the arts" for the past 44-years with my daughter's creativities (and for the past 30+ years for my sweetie) I can't think of a more-enjoyable or rewarding thing to do than help put creative tools into their hands! Me personally, I like to engage them in the process and see what they think might be an appealing or useful choice, I never pass on the grand opportunity to get either my daughter or my sweetie to be involved in the decision-making process and for me to learn better what their interests and needs are. However, for those times when it's meant to be a surprise I'd still try my best to find out just what sort of camera or lens they might be interested in and pay attention to what they've been looking at or expressed interest in.
Short of all of that, harkening back to my younger self...a versatile tool such as "a superzoom (like that P1100 you mentioned) that I could call my own?!" would likely be my first choice were I an 8-year-old today. A powered-zoom?! I can take both pictures and videos?! Woo hoo!
Hope that's helpful, do let us know what you decide!
Best,

Jimmy G