I don't think you mentioned how old your 'little girl' is ?
YOU want her to start on a 'music journey of appreciation' but DOES SHE want to to embark on this (somewhat pretentious-sounding) journey?
I was a primary school TA for over twenty years, and for ten years ran informal recorder clubs for Y2 to Yr6 children. I also had some keyboard clubs, and coached children on percussion to accompany the annual Christmas production. By 'informal' music I mean it was for ENJOYMENT only, with not necessarily learning to read music (although some years children did do a bit) and certainly no consideration of Grades or anything like that.
Children came to my groups because they wanted some fun, and to learn to play a bit. I would pace and format the learning according to the interests and abilities of the children.
No, I'm afraid I don't know any piano teachers, so can't help you in that respect.
However, I would urge you to examine your own motives for this request. Were you perhaps a frustrated or failed pianist yourself? Did you want to learn, but never had the opportunity?
First and foremost music must be about PLEASURE and it must be VOLUNTARY. Depending on DD's age listen together to as wide a range of music as possible; take her to concerts or other musical experiences, such as to hear a church organ recital. But also have plenty of 'quiet' time, without music or TV, and listen to the sounds of birds, the wind, traffic etc.
If you want some inspiration, look at Nicola Benedetti's web site, (I follow her on Twitter) and read about her musical 'journey' and her work for music education.
If I have been too rude, I apologize, but children and music are two things I have strong opinions on.