Orange tint is due to "Tunston Lighting" in the home.
There noramlly is a setting to compensate for this.
Moving Pictures :
You may be experiencing blurring due to poor light.
The Key :
If you had lots of light you wouldnt be having any problems.
You could have a fast shutter speed or slow.
Point i'm making is that with lots of light you have lots
of choices, with poor light your choicies are reduced.
Fast Shutter Speed : Sports mode
If you have lots of light a fast shutter speed will
do what you want it to do with the results you want.
But with poor light, the picture will come out dark.
Slow Shutter Speed : Night
Typically the slower the shutter speed
the more light you can let in, and also leave the
shutter open to allow light in too.
Down side : if the image moves its blured.
So with the Baby
Increase the light around you or use a flash
Actually if you can force the flash to come on when you
want it may help to get the results you want
Hope that helps as a guide.
I use the word shutter as thats how i was taught when
cameras had moving parts lol.