Hi, M.,
Welcome! I know it's very difficult moving somewhere and not having anyone of confidence for advice. We've moved a lot too.
To your dentist question, depending on your insurance, I recommend Dr. Stephen Pyle. He's located (at least was) in the Publix plaza on Saddle Club and Indian Trace, nearer to the Blockbuster. He's very thorough and gentle.
And regarding your daughter...I moved to and then back again to Weston when my 16 year old and my 12 year old were in 5th grade, respectively. The battles are unfortunately part of her frustration of the move. It'll be hard, but let her help you choose the tutor (that way she feels like she has some control over one situation) and hopefully the battles will lessen.
Depending on the school and your daughter (if she likes the math teacher, that is), you might be able to arrange afterschool tutoring with the teacher directly. Or if you prefer, I understand Kumon has a good Math program (that's located on 160th street--where Pizza Hut, the Columbian bakery and Weston 8 are located). If that doesn't work, the YMCA has a Child Advocate program that might be able to recommend a tutor. I realize these are not specific tutor names, but I hope it'll help you a little.
Good luck. I hope your transition to the Weston are goes smoothly. Moving is always tough, especially on MOM!
Best wishes,
I.