Order of “not” with infinitive
Last month I decided to change my residence and shift to another town. After some days, due to some reasons, I cancelled my program and decided to stay at my current place. At that time I sent a message to my friends, "I've decided not to leave A.I. Town".
After sending the message, a question flashed in my mind that have I used "to" at the correct place. Shouldn't it be "I've decided to not leave A.I. Town"?
I am actually confused that should I separate the preposition "to" and the verb "decided" in the prepositional phrase "decided to" by using "not" in between them?