Hi Rena, welcome to DogChihuahuas. and molly too  , regarding the jumping, your right putting the pillows around as they can attempt to jump, and at this young age they are prone to breaking bones, so until they are more sensible and stronger you will have to be quite vigilant with her. Also the stairs are hazardous, i put a gate up when mine were that young.

Even though she has had her first shots, in my opinion i wouldnt take her out just yet, i would let her get immune to the outside germs first.  I personally wouldnt allow other dogs near just yet either.

I have cats too, and i was very cautious introducing them, their temperaments are very different and can be spiteful as it is there natural instinct to be, so again just keep an eye out for that.

Im sure you will be fine, and that i have been of some help, please keep us updated with mollys progress,  good luck   

chat soon

Sarah