Beginning the Journey

My grandparents on both my mother and father's side are first generation Americans. They all came from various areas in Wales. I am an oddity here in small town east Tennessee, with no Native American background and a feeling of duel citizenship since my grandparents have always been what I would call loudly proud of the fact they are from where they are from. I am in the last few semesters of acquiring my education degree, I have two wonderful daughters age 2 and 4, and though my family is hesitant about my decision I am seriously considering relocating to some area of Wales for at least a few years. I will be researching many of the questions I post on here in my free time (not that there is a lot of that to go around ha,ha) but I would like an insiders view. My questions are as follows, and I apologize for so many:

Will I be able to get a job as an educator in Wales?

Will my daughters and I even be allowed to reside in Wales for an extended period of time?

Due to my heritage, is there any possibility I could become a citizen or does heritage matter?

What are some of the most suitable areas for single parent families?

Anything else anyone wants to add would be greatly appreciated! I have never been this excited in my life and this will be the biggest change I've ever made in my life!