My S corp conducted all business in Texas before my moved to NY. When I submit my Schedule K1 on turbotax how can i specify only to be taxed under Texas state tax?

You won't be filing a state business return with NY or TX. Follow these steps:

1. Enter the k-1 in your personal return.
2. File part year NY return and indicate that the income was while you were a nonresident and excluded that amount.