GG5: prenatal [antenatal] training. ●胎教で音楽を胎児に聞かせる play music to an unborn child (as part of prenatal training).
中辞典: womb training; a pregnant woman's care for her fetus through maintenance of her own mental well-being
ルミナス: prenatal influence of the mother on her unborn baby
Daijr: 妊娠中に，妊婦が精神的安定と修養につとめ，胎児によい感化を与えようとすること。
Daijs: 妊婦が精神的安定に努めて、胎児によい影響を与えようとすること。

All rather wooly.

@@ -17,3 +17 @@
-<gloss>teaching one's unborn baby(e.g. by talking, playing music, etc.)</gloss>
-<gloss>antenatal training</gloss>
-<gloss g_type="lit">fetal education</gloss>
+<gloss>teaching one's unborn baby (e.g. by playing music, etc.)</gloss>

This site lists 4 techniques:
1. Talk 話しかける
2. Pat your belly .お腹を撫でる
3. Let them listen to music 音楽を聴かせる
4. Play kicking games  キックゲームをする
胎教とは？いつから何をすべき？胎教の効果やおすすめの方法をご紹介！
https://www.ena-clinic.com/column/1093/

https://www.mh.sinica.edu.tw/MHDocument/PublicationDetail/PublicationDetail_1450.pdf
The term taijiao 胎教, which I translate as fetal education, is made up of the
characters tai, for fetus, and jiao, to teach or instruct. While I have translated this
term as fetal education, the education in question refers to an idea of moral
training and instruction aimed at positively influencing the fetus, rather than a
formal mastery of academic material. While the term appears briefly in earlier
texts such as Da Dai Liji, or the Senior Dai’s Book of Rites, the idea of fetal
education develops fully during the former Han dynasty when Liu Xiang praised
the mothers of three of the founding Zhou kings for their diligent practice of
fetal education in his famous text the Lienü zhuan, or Biographies of Exemplary
Women.1

The Effect of Music Intervention on Fetal Education via Doppler Fetal Monitor
https://www.mdpi.com/2227-9067/9/6/918
Research by Wulff et al. [5] reported that listening to music or singing is beneficial for mental health during pregnancy. Singing different song styles, such as lullabies and play songs, can regulate emotional state [21]. When singing lullabies one can become calmer [22]. Musical interventions can help support health and wellbeing. The Holistic Music Educational Approach for Young Children (HMEAYC) study showed that its approach can be applied to all children....

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5768643/
Antenatal Training with Music and Maternal Talk Concurrently May Reduce Autistic-Like Behaviors at around 3 Years of Age

Antenatal training has been defined as the process whereby women employ various auditory stimulations, such as playing music, talking to their fetus, and belly touching during pregnancy, to encourage beneficial effects on birth outcomes and children’s development (29, 30). In particular, antenatal music training is defined as when the pregnant women uses music, especially certain kinds of positive music (such as classical music, nursery rhymes, lullabies, etc.), to stimulate the fetus with the expectation that the basic elements of the music (e.g., harmony, melody, and rhythm) could have a positive effect upon the fetus. Such practices have a long history in countries such as China. As far as records can indicate, antenatal training was originally performed in Yin and Zhou Dynasty of China over 3,000 years ago

In modern China, playing music and maternal talk to the fetus are the most frequently used practices of antenatal training.

Of course, please simplify as you like.  

Was suspicious of "prenatal care"...

Note: "prenatal education" doesn't seem to work, because it already refers to education about pregnancy itself.

This seems to be a concept rooted in East Asian Culture.  "antenatal training" is a technical English gloss that will return academic research papers on playing music for your baby in the womb.  But "胎教" seems rather more commonplace in Japanese(see amazon book results), so "antenatal training" is not a great gloss in that regard. 

"antenatal training" also appears to be too narrow. I think 胎教 can theoretically include things like "practicing good morals".

I believe "prenatal influence of the mother on her unborn baby" comes from lumine. Maybe rewording is necessary, but looking at some of the Chinese/English book results, this does seem to carry a broad definition.

I just spent a couple of hours looking for glosses of "prenatal care", and quite predictably this one never came up.  *Except* in the very limited context of playing music for, and/or talking to, one's baby in the womb.  And those uses are rare, and quite possibly influenced by this dictionary entry.

Search Amazon for 胎教 and you'll get a mountain of colorful, parent-focused music, and books on music and talking to your baby in the womb:
https://www.amazon.co.jp/s?k=胎教&crid=2VRX4CNUCKRVD&sprefix=胎教,aps,153&ref=nb_sb_noss_1

Such as:
「おなかの中の赤ちゃんとお話そう」
https://www.amazon.co.jp/-/en/Lets-Talk-Your-Belly-Baby/dp/4872907671/

I do not at all like "prenatal care" as a gloss here, even if this can be very loosely interpreted as a "type" of prenatal care.  If you gloss 胎教 as "prenatal care" you will dumbfound your reader, and if you translate "prenatal care" as 胎教 you'll confuse your doctor.

@@ -16 +16,2 @@
-<gloss>prenatal care</gloss>
+<gloss>prenatal influence of the mother on her unborn baby</gloss>
+<gloss>teaching one's unborn baby(e.g. by talking, playing music, etc.)</gloss>
@@ -17,0 +19 @@
+<gloss g_type="lit">fetal education</gloss>