She sounds JUST like my DD was.
My DD would not be put down on her own (sometimes I could get away with it if she was out for the count and I put her down very gently, but even if she was comatose she had an uncanny instinct of knowing she was moving into the horizontal plane from the vertical and waking up and screaming!?
She wouldnt go in moses basket till about 12 weeks, and she wouldnt go in her pram at all. At about 9 weeks she didn't mind going in the car seat on the pram wheels for a bit.
So she lived in the sling, and slept on me in bed at night.
It doesn't last - with DD, once she started to see properly, smile, and recognise me, that need to be close all the time disappeared. You can't set patterns at this young age - just keep your DD close the whole time.
In terms of transitioning to moses basket and something resembling a bed time, from about 3 months we started doing bath, feed and then she went in the moses basket with her dummy at our feet in the sitting room for a few weeks. Then when she was a bit older, we tried moses basket in cot upstairs in our room upstairs. Then in cot upstairs, and eventually at 6 months, in cot in her own room.
It'll all happen in due course with your DD too. Soon enough she will be sitting and crawling and you will have to trick her into giving you a cuddle!