You should have an airlock on that fermentor if you don't currently. There is no need to oxygenate/aerate the liquid as there is no boiling...pasteurization temps are below boiling I believe and flash pasteurized products are held fairly high for only a short while...so the moral of the story is there is sufficient Oxygen in the liquid to support healthy yeast growth. I am guessing you are using some form of a canned or bottled juice at this time of year so just make sure you keep the airlock on that thing to avoid contamination which can turn your cider into cider vinegar.
As for Oxygen getting into the Cider the airlock will keep both contaminants out and allow the Carbon Dioxide produced to maintain a positive pressure in the fermentation vessel, meaning that O2 has no way of getting into your product. Another way O2 gets in is by penetrating the wall of the vessel, which is why glass carboys or 'approved' vessels like "Better Bottles" are the right choices. That all being said, out of ignorance I fermented my first Cider in one of those water cooler bottles and it is absolutely fine. Would I do it ever again? No. Could I possibly experience long term problems associated with O2 penetration? Maybe. The presence of O2 in your finished product allows for Oxidation to happen. This is the classic staling flavor you get in foods/beverages. O2 is needed by the yeast to establish themselves, but they use it up..after that point you do not want O2 in the beverage.
As far as racking off the lees it is no big deal. Just rack (I am assuming into a secondary?) normally and if some gets in there don't worry. Just try not to get too much it'll settle out, and again settle out when you bottle. You can't always prevent exposure to O2, and what you are really trying to avoid is a slow permeation of O2 into your product, and certainly avoid swishing, splashing, etc...which is probably by far the quickest way to introduce O2.
I would rig something for an airlock ASAP if you don't have one. If you have a supply store you should swing by and get one. You can use the balloon, but fixing an airlock will only cost you a few dollars at the most and is money well spent.
Cheers!