Milk issues

I currently transition my 1 year old to regular milk but I’ve notice that her poop is a lot harder now and she grunts every time she tries to go and at times she grunts to the point where she can’t poop. How would I know if the milk isn’t good for her? My house has issues with milk himself so could she be lactose and tolerant? My doctor did mention to look for signs of bleeding in her poop and that would let me know if she is or isn’t which she hasn’t had any blood signs. Another issue is ever since I switched her to regular milk she cries so much more I’m not sure if it’s due to teething because she has zero teeth yet or because it’s the milk messing with her tummy? Any recommendations or thoughts?