Help please - scared

I am so scared that because my new born (8 days old- day 2 at home ) is so fragile , tiny that I would hurt him when I lift him / dress him / so .. especially his neck . I make sure I always have my first 3 fingers to support from the base of his neck & the whole palm to support his head yet he is so wobbly - very difficult to handle when he is cranky / Super hungry ... that he jus wants to lift off and fall off from my lap.

We are scared much that we might hurt him. Does every parent think this way / am I overacting ?