Hey Ishu !
As soon as the result of NEET 2019 would be declared, the AIQ Counselling won't take much time to start and it would begin right after. All you need to do is keep an eye upon the official website of NTA to make sure that you are updated.
And as far as State Counselling is concerned, it would take some time because, merit list needs to be prepared before the Counselling procedure starts.
As soon as the Merit List is published in the official state website, the candidates would be notified about the Counseling procedure.

Make sure to have a look at both the websites regularly so that you don't miss out on any notifications.

Hope this helps.

Good Luck !

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