It would be nice to have more quality time with her while she is awake, but I suppose that will come when she is a bit older.

[He starts gently rocking her to maybe help that along, since he does want to make sure she’s getting enough rest.]

And yes, that is a good idea. I can recommend you the variety I use and where you can find it, but it would be worth trying out more, particularly if you are not fond of mine.