Bachmann's Berceuse is a charming example of late 19th-century salon music focused on creating a soothing, lullaby-like atmosphere. It is noted for its conventional but effective use of harmonic progressions in the key of A-flat.
Focus on the physical relaxation required to maintain a consistent, pulse-like accompaniment throughout the piece.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse (Op.35) 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.35) lasts about 3 minutes.
Berceuse (Op.35) 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 sur un air populaire by Georges Bachmann, Béarnaise by Georges Bachmann, Bonjour printemps by Georges Bachmann — see the full similar-pieces list on this page.