Hello and welcome to RTA !

You have a wonderful trip to look forward to and as long as your child gets the chance to run anround and play she will enjoy it as much as you.

You can travel from MV to Bryce canyon and then to Vegas, but it is a little rushed. You also haven't included Zion NP which has lovely riverside walks and wildlife that your young one will enjoy, probably more than the amazing rock formations at Monument valley and Bryce canyon. I would consider doing either MV or Bryce and then stay near Zion NP [Springdale UT] for before heading to Vegas. I would also consider taking a day or 2 froim the City to allow more time in the natural surroundings. For example, from Vegas to SF you could drive through Death Valley and stop over in Bishop or Mammoth on US395 and then drive into Yosemite NP via Tioga Pass. Yosemite is a favourite of mine and a beautiful NP and if you could spend another night here on route it would be most rewarding. It is your trip and whatever suits you is most important, but you could head direct to Sedona from PS unless there was some particular reason you wanted to spend a night in Phoenix.