You will be charged a certain percentage. For normal airlines and under age 1 is normally 10% of the adult rate. Budget airlines are $50/way.
Bassinet will need to be requested asap once you book the tickets to secure. And is subjected to availability. No additional charge.
And yes, if no bassinet means baby will be on lap.
Do note: Different airline have different weight restrictions for the bassinet, and you may not get a bassinet if your child exceeds it.
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Nurturer of 1 lovely daughter