I would just be really honest to save time and explain that you need someone with extremely high, positive, upbeat energy that stays at that level until the children are asleep.
Someone who is having a social life that has them out drinking at night is not a good fit for a gifted family who hits the ground running (loudly) usually very early and keeps going.
People can be very put off and think, "What is wrong with that family?" We wonder, "Why do they seem so nonplus?"
A match is someone who enjoys an adventurous, anything-can-happen-today type of attitude.
Let's be honest. We can tell that super-enthusiastic, upbeat people can really get on peoples' nerves. So, nerves of steel. Calm. Not going to a negative place when the kids tire them out.
I thought youth would be the answer, but it is more attitude, energy level, true mental curiosity. Finds everything interesting. Won't scream if the child studies one ant for thirty minutes.
Maybe asking word of mouth among friends and family for a good reference. Someone who meets your specific list of requirements.
I left a message once at a local teaching college, but never received a response. Wishing you good luck.