Technically, you are allowed one quart-size 3-1-1 baggie per passenger, not per carryon.
If you have 5 people in the party (not counting lap babies), then you get five baggies. If you are carrying multiple baggies for multiple people in a single carryon, put names on them so TSA understands that each goes with a different person.) Stick deodorant is not considered a gel unless it comes in a dispenser that squeezes it through tiny holes; if it doesn't it does not need to be in the baggie.
Also, medications and medical devices (including contact lens solution) are exempt from the quantity rule, but they do have to be "declared", so it is best to put them in an extra baggie (this one can be any size) marked "Medications", and put them in the bin with the toiletries. NEVER pack medications in checked baggage -- big theft target, and a PITA to replace if the bag gets lost.
Now then. If you are packing toiletries in your checked luggage, empty out a little bit for any liquids (to allow for pressure expansion) and bag them in ziplocs. It is a good idea to pack this stuff inside an insulated container such as a softside lunch cooler, which will help keep the temperature extremes to a more moderate level. IME, the worst packages for leaking are pump bottles.