L.A.
I am a hair stylist as well, and if you had chemically untouched hair, you would have a much better chance at getting an even and desirable color, but with the perm, and the faded color on the ends, you will most likely end up with an undesirable, patchy looking color job, that will damage your hair worse, and require a more expensive and time consuming visit to the salon.
We often had children come into our salon, sometimes for 1-4 hours and they did not enjoy themselves and the parents were unable to recieve a nice relaxing service with the kind of consultation they needed. Some salons are more kid friendly than others. Please, try and find a sitter for a couple for hours, or go see one of the other stylists that posted.