Wholly domestic itimeraries and the domestic components of international itineraries do not incur taxes, fees, or ticketing costs for infants in arms (lap children) and will simply appear as on the sponsoring ticket. International taxes, fees, and ticketing must be handled through the tariff department but given your domestic itinerary, this does not apply here.
You can add the infant to one of your tickets at the airport or by phone however you will not be able to check in via app/online. You’ll only need to provide the infant’s age in months and name. A passport for the infant in arms or lap child is only required for itineraries that include international segments.
On some very small aircraft (not applicable here) agents will be required to confirm that there are sufficient oxygen masks in the row and side where you are seated.
Eight months is a wonderful age, especially if they aren’t walking just yet and if you need to bounce or soothe them while standing up, you’re quite close to the forward galley.
Happy trails!