Get some knee pads fro yourself, and make sure you're down at her level. Little kid photography demands a lot of crouching, squatting, kneeling, lying face down prone, moving left, moving right, constant,and I mean CONSTANT evaluation of the background as seen through the camera's viewfinder, and persistence. One of the secrets is introducing the child to an area that has clean,uncluttered backgrounds, with minimal "ugliness" behind the play areas. Work at an ISO that allows a fast shutter speed, and decent depth of field.
Photographing a toddler is more-challenging than photographing an older child, or an adult. You really must force yourself to look at the background and decide it it hurts, or helps, the shots you're trying to make. There's a balance between realism, and clutter, between isolating the kid, and showing the kid in her REAL home environment. But the key is to JUST KEEP FIRING AWAY, and not focusing on the rejects, but just shooting plenty of frames so as to get to the best stuff, later. Real life is sometimes messy. Not perfect. That's okay. Just keep shooting! Look for times and places when the lighting is good, and work those times hard!