The program leads to permanent residence, not citizenship, for the principal and for each joining family member. A spouse and each unmarried child under 21 must be considered in the initial application, and each adds a nonrefundable US$15,000 fee and a US$1 million gift. Questions about a child's future nationality belong with counsel and are governed separately.
Think about where the family will actually live
A household planning to keep its main home abroad while holding permanent residence is making a decision about status, schooling, and tax at the same time. Ask counsel how extended absences interact with maintaining the status for each family member, including a child at boarding school elsewhere. Also ask a tax adviser how worldwide income reporting applies to family assets, since permanent residence changes that picture for everyone who holds it.
Ask the residence question for each family member rather than for the household as a whole, since people often intend to live differently. A spouse running a business abroad, a child at school in another country and a principal spending most of the year travelling are three different patterns, and the advice on maintaining status is specific to each. Ask a tax adviser the parallel question at the same time, because worldwide income reporting applies to everyone who holds the status and can change the family's overall position more than the immigration analysis does.