This piece by Edouard Huguet is a sentimental miniature composed for educational purposes. It utilizes traditional Western harmonic progressions to provide a safe and melodic environment for developing touch and tone.
Focus on maintaining a consistent dynamic level while shaping the melodic phrases.
Comparable difficulty and character — good candidates for what to learn next.
Bébé à sa mère is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 2.
You should be comfortable at Henle level 2 — meaning you can already play level 1–2 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of Bébé à sa mère lasts about 2 minutes.
Bébé à sa mère is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include Für Elise by Ludwig van Beethoven, Butterfly Lovers by Shuwen Zhang, 'O marenariello by Salvatore Gambardella — see the full similar-pieces list on this page.