You have to wait until you have a deed or lease saying that you live in the district.
THey should screen her this summer, schools do it all the time. But if not kindergarten is not when they start tracking kids, usually that starts in 3rd.
So if she goes in and can read and add the teacher will figure that out very soon. And if she goes in and can't recognize 15 of her letters, the teacher will figure that out pretty quickly too.
Do make sure her shots are up to date and you have a copy of her birth certificate, a piece of mail to you at the new address, most schools ask for some phone/utility bill. I have used housing notices, bills, deeds, leases. My new DL worked here in VA.
You'll need her social but not the actual card.
Have an emergency person, I usually use neighbors. I have used people I have only known for two days.
They will send you bus information close to the first day of school.
They should have orientation the week before school starts too.
Don't stress too much, pick a day in late July, early August and go register her.