Check with the different airlines.
I've been looking around because I'm trying to find a cheap flight to go pick my Madie up asap & bring her back as an in cabin carry on.
Different airlines have different policies- you can find them on their web pages. Each flight limits the number of in cabin animals per class-
typically I've seen: first class/business 1 in each, economy- 2 per flight.
As soon as you have your flight #'s-

contact the airlines directly & reserve your pets. There is a fee varying by airline usually $50-120 each way for in cabin flights- most airlines charge $80 each way. A checked animal costs more. Service and rescue animals are free on some airlines.

Hawaii is considered a rabies free state & some airlines are no longer allowing pets to travel there unless_____. I did not read what the extra was but I seen this statement a few times- so I would recommend you find out if they want some sort of health certificate from your vet or if they will impose a quarantine on your baby. Health certificate's easy but the quarentine would be bad. It didn't apply to me- I'm going from Ca to Ne. So, I didn't read any further.