Hi there. Still bring it up to your doctor. He'll probably say what mine said and tell you to keep an eye on it. Ask for the infant Gaviscon anyway. I did and it's helped Marlowe sleep so much better at night. Also, I let Marlowe sleep in her bouncy chair for the first 5 or 6 weeks she was born. She wouldn't go anywhere near her moses basket before then. Her bouncy chair vibrates, and having that on seemed to really soothe her. At about 6 weeks I found a supporting mattress that keeps her head up slightly and has a heartbeat thing. That worked well and she's slept in her moses basket ever since. I say rubbish to creating bad habits. They're too young, so if she sleeps better in your bed, do it. It's better that you get some sleep! Try every few nights or so to stick her in her m.b. to see if she'll sleep in it. It could just take her some time like it took Marlowe. Good luck!