I would rather refer to the Bible (because in my mind any other source is questionable unless backed up by scripture) and while ti does say that households were baptised, it doesn’t explicitly state that infants were or were not baptised.
In every church I’ve ever been to, infants are baptised by pouring or sprinkling. Just to refer to a couple of Catholic sources:
Bertrand Conway wrote:
“Catholics admit that immersion brings out more fully the meaning of the Sacrament (Rom. vi, 3, 4; Col. ii.12; Tit. iii. 5; Eph. v. 27 [sic – 26], and that for twelve centuries it was the common practice” (The Question Box, San Francisco: Catholic Truth Society, 1929, p. 240).
Another Catholic scholar, J.J. Ignatius Dollinger, wrote that in the early church baptism was “by immersion of the whole person, which is the only meaning of the New Testament word. A mere pouring or sprinkling was never thought of” (The First Age of Christianity and of the Church (London, 1887, Vol. II, p. 183).
(I so wish discussions of these sorts were possible in person!)