This work by Anton Simon serves as a prototypical 19th-century lullaby, characterized by a steady accompaniment supporting a sentimental melody. Its structural simplicity makes it an effective study in tone production.
Focus on the left-hand stability to support a singing, long-breathed melody in the right hand.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse Op.28 no1 is rated Henle level 3 of 9 — late beginner repertoire, roughly ABRSM grades 4–5. In the RCM system it corresponds to about level 4.
You should be comfortable at Henle level 3 — meaning you can already play level 2–3 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 Berceuse Op.28 no1 lasts about 3 minutes.
Berceuse Op.28 no1 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 Berceuse by Anton Simon, Berceuse by Maurice Deffrennes, Berceuse enfantine by Georges Charton — see the full similar-pieces list on this page.