The phrase "snotnosed kid" is a colloquial way to describe a child who is bratty, rude or disrespectful. Though it might be a little strong for some, there are synonyms for this term that can be used interchangeably. Some alternatives include: obnoxious child, insolent youngster, mischievous brat, impudent juvenile, and disrespectful little one. These synonyms can be used in various contexts to describe children who exhibit challenging behaviors, but it's worth noting that not all children are like this. Positive reinforcement and gentle discipline can help reduce negative or difficult behaviors in children, and help them grow into respectful and responsible adults.