Hi, what would be the point of the child staying overnight anywhere if you two fret and worry? The dog issue alone is a non starter, I have an 18mth old grandson who I adore , he hasn’t slept at my house but has at his other granny’s because she lives closer plus has looked after him more during daytimes too. It’s not a competition or a challenge. It’s your baby, I will happily have my little grandson anytime but only when Mum and Dad are totally ok with it snd actually get the relaxing little break or night out because they’re confident baby will be happy. Surely that’s what it’s all about. One last thing , say NO forever if u are worried about the dog !!!!!!!!