My account was already moved at the beginning of June. I guess they are moving accounts in "waves".
My KRY shares were moved and have the "incomplete" under the heading of "cost basis". There is also the number of shares listed. There is a number with a letter in it, in place of the ticker (which I believe is now "CRYFQ". I wonder if there is hidden meaning in that ticker. ;-) ).
As far as how good Schwab is, I do not know. They are as new to me as they are to you. So far, I guess, our KRY shares being moved is a good sign. I have hard copies of my buy transactions from TD. You may want to see if you can make hard copies of the existence of your shares if you don't already. I don't know if you can or how to do it. Hope this helps.