K.R.
There is probably almost no chance you'll get her in for first grade. So many families who live in that community request it for K, that they fill up all the slots.
If you want any popular Minneapolis school, you MUST get your choice card in by the deadline, the January before K starts.
You could visit other schools to see which ones you'd want instead (and find out the likelihood of getting her in for first), but I think I would just go ahead and start her at Lake Harriet for K or you will regret it later.