Most airlines allow only one cat per person, a few allow two in the same kennel, but they are exceptions to the rule. details
On American Airlines, the kennel replaces the carry-on bag, so you will most likely be checking in a bag.
ESAs (emotional support animals) used to travel for free with their owner. Due to lobbying by the airline industry, legislation has changed in USA regarding ESAs, starting Jan 11th 2021. Now only service animals can travel for free, and only dogs qualify as service animals. Changes in policy in USA seems to affect the rest of the world, much like Europe's GDPR changed website policy globally. Although there are some exceptions as each airline and each country can make its own policy.
Most airlines charge a fee for traveling with a pet that is not a service animal, and the fee is astronomical; around $200.
Websites that cover airlines that allow ESA in cabin:
LATAM airlines states that dogs are allowed to travel for free as ESA (emotional support animals), but not cats. And only on certain routes: “flights to or from Mexico, Colombia, and on domestic flights within Colombia.” Also the dog must be of certain size and must behave well. The size requirement is not stated. Although the size of regular non-ESA pets traveling in the cabin must be less than 15 lbs (7kg) INCLUDING THE CARRIER.
In your country of residence, your vet can certify that your pet meets the requirements of the country you plan to ingress. The certification process may involve taking document from the vet to a government agency for an official stamp.
“ Requirements for Cats Arriving in the United States:
Cats don’t need rabies vaccinations to enter the United States. However, most states and many other countries require them for cats. Be sure to check your destination’s requirements and ask your veterinarian before traveling. ” CDC
“collar with ID, Rabies vaccine tag, harness, leash, vaccination record, cozy blanket and toy, portable food/water bowl, and a rolled up litter bag with litter that can be MacGyvered into a single-use litter box.”
You can also use smarttags from samsung or airtags from apple. Smart tags depend in part on a network of apple or samsung phones reporting the tag's location. For the purpose of backpacking in the wilderness, RF tags give better range. “The advantage of RF is that this technology has a wider signal range, which can be up to 30 yards. RF can go through walls and there is no need to point the remote to the device, as it does not require to be in line-of-sight.” Compare that with 30 feet for bluetooth. Tabcat / Loc8tor tags also start beeping when you are actively looking for your pet.
About airtag direction finding: https://www.reddit.com/r/iphone/comments/mvbm6f/how_do_iphone_know_the_direction_of_airtag
Microchipping may help you recover your lost cat, but only in certain countries, and only where they use scanners compatible with the cat's microchip:
Some “natural” products, such as apple cider vinegar 1), and aloe vera with abscorbic and citric acid (citation needed). Essential oils can be toxic to cats, so check ingredients on any store bought insect repellent.
Picaridin, applied to humans, does not seem to be toxic to cats, but long term research has not been conducted, and other ingrediens in the repellent need to be checked. NPIC fact sheet
Permethrin is very toxic to cats, but may be used by applying to clothing and letting dry in an area away from felines. However, permethrin would not be recommended if your cat sucks or chews on your clothing.
Some flea topicals for cats, such as Revolution, will also kill mosquitoes.