I'm a human with good, strong lungs and I start choking with my nose/eyes/throat burning at the smell of that fabreeze stuff. What it must do to tiny bird lungs! I would NOT use that kind of thing around a bird, no matter how much the manufacturer (who has a vested interest in selling their product to as many people as possible) would like you to believe it's bee "reformulated" to be "pet friendly". I suppose if you use it in the bathroom, close the door and turn on the fan it probably wouldn't hurt, but I still say that stuff is going to be proven as carcinogenic as smoke sooner or later.
You CAN use home made room sprays that utilize essential oils to 'freshen' your rooms safely. Buy a set of dryer balls (look like spiky rubber tennis balls), and you'll never need dryer sheets again. Fluff, de-static and soften without chemicals. White vinegar will disinfect your counters and theres NOTHING WRONG with a good old fashioned mop and bucket for floors and microfiber dusters work great for dusting (a damp cloth if you have something that's super dusty)