T.D.
After reading your other posts I would say that this is a good thing. If you are worried about your supply the best thing for it is to nurse, nurse and nurse some more! If your son is having plenty of wet and poopy diapers than I wouldn't worry about the bottle right now. Just let your little man nurse as much and as often as he want. That is natures way of increasing your milk supply. I know this could be frustrating, especially if you feel like all you are doing is nursing the baby but this is perfectly normal seeing how 3 months is prime growth spurt time for you baby. In a few days his feedings will probably space out a bit more as you will be producing more milk for him at each feeding and he'll be able to go longer between feedings. Even if you aren't feeling full or able to pump a lot (or anything at all) doesn't mean you are not providing plenty of food for your little one. If he is gaining weight and having plenty of wet and poopy diapers then chances are you are just fine and don't really need to supplement. A baby wanting to nurse a lot and often is not a necessarily a sigh on a low supply nor is a baby who eats a bottle after nursing. The way a bottle works, even a full baby will eat from it becuase it just pours into their mouths and they are forced to swallow. I suggest getting someone to come and help you with the older kids while you spend time snuggling your baby skin to skin and nurse as much as your little one wants.
As to the worry about taking a bottle for those emergency times when you are not around do not fret. A hungry baby will eat eventually if they don't have access to mommy. Just leave a bottle for the baby and leave the house. Make sure you take a cell phone with you so you can be reached if things get too crazy for the baby and you need to come home.