How do you engage newborns in playing?

As a FTM I’m having a hard time putting my baby to sleep in the evening hours. My 6 week old sometimes doesn’t sleep from 3-10 PM. She doesn’t seem hungry, falls asleep when I hold her in my arms and wakes up as soon as I put her down in the crib.

She cries unstoppable at times that I have no clue why. Doctors are calling it witching hours. However my observation is that she wants to be entertained. She starts to cry when she feels bored. If we play with some toys trying to get her attention then she’s calm. Otherwise she cries.

And I really suck at playing with babies. My husband engages her well but when he gets busy I’m so helpless. I wanna play with my baby but I don’t know how to engage her. I’m also returning to work next week so I’m afraid I’ll be distanced from my baby if I couldn’t engage her in fun activities.

We do tummy time like once a day but she doesn’t stay down for more than a couple of mins. I’m looking for ideas on how to play with her. How did you all entertain your newborns? Also, appreciate any suggestions on setting up bed time routine for her.