B. Beer's Berceuse is a pedagogical-style miniature intended for study and intimate performance. Its simple structure emphasizes clarity of articulation and a singing tone.
The technical difficulty lies in achieving an even, unforced cantabile tone throughout the piece.
Comparable difficulty and character — good candidates for what to learn next.
Berceuse 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 lasts about 3 minutes.
Berceuse 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, Prelude in E minor, No. 4 by Frédéric Chopin, As in a Rose Jar by Charles Wakefield Cadman — see the full similar-pieces list on this page.