I found a very easy solution to this from Markiplier, a youtube personality. Crossing between the living room and dining room the large open doorway counts as getting out of a room. This means it will make Chester disappear.
So you literally can stand in one room and if you hear him move to the next. If you hear Mr. Tatters, just stand still. After 6 minutes of basically listening for which laugh will appear and taking the appropriate action, you advance on to 3AM. Yikes! All 3.
So, after trying a this strategy a little bit for 3AM, I noticed that it can introduce issues where multiple dolls come at you at the same time. This shouldn't be much of an issue as long as you have a clear path. It won't spawn Chester and Mr. Tatters at the same time, so as long as you keep kiki in your line of sight you can still foil Chester's attacks by going to the next room.
Good luck! Please let me know if you need any clarification or if I should add anything else.