Does canciones infantiles mean both children's songs and nursery rhymes?
Or is there another word for nursery rhymes?

Question

Answer

Se les puede decir: - Canciones infantiles
                                   - Canciones de cuna
                                   - Arrullo

Answer

"Canciones infantiles" means "children"s songs". https://www.youtube.com/watch?v=m8GN0bWWmrs

"Canción de cuna" and "nana"" are "lullaby"." https://www.youtube.com/watch?v=H3YFEwQoAjs

Answer

If I am not wrong, "nursery rhymes" can be:
"rimas infantiles" (poemas)
"canciones infantiles" (songs for children)
"canciones de cuna" (songs for babies)

Answer

Hi Dawna, as far as I know "nursery rhyme", or "lullaby", is "canción de cuna".

Answer

Hi Dawna! 
You're right 'Canciones infantiles' means 'Children's songs'.

Bye!
Xavi

집에서 편안하게 언어를 배울 수 있는 기회를 놓치지 마세요. 경험 많은 강사진을 살펴보고 지금 바로 첫 수업을 신청하세요!