Pepsi'sMum

Hi. I recently got a new baby budgie. He is about 15 weeks old now and I have had him for almost 3 weeks. I want to be able to play with me and be out of his cage a bit. How much should I be taking him out now and holding him? He usually makes an awful screeching noise when I pick him up, but as soon as I stop touching him he stops. He seems happy to sit on me, or wander around on the floor, just as long as he isn't being touched. Mum says that because he is still a baby I shouldn't take him out of his cage so much, that he needs time to get used to me and he needs more rest than an older budgie. Is she right? Thank you.