Dear Friend please do as follows:

1.) Asper the Law you have to give them one Month Notice before you Leave that House (Fair Enough)

2.) I personally Suggest you first look for a new Accomodation agree with the new Party/Owner & then once confirmed with the new one, Just give your current house owner a Verbal confirmation that You will be leaving the house after 1 month, if they ask you why are you leaving, because here in this Region their are Many creatures who like to View/Scribble in other's Personal life. So the best answer would be, that you are leaving Qatar for good. Tht's it.

I too have done this

Wish you good luck for your New House.

THANKS & REGARDS