This is a quintessential character piece by the prolific salon composer Anton Strelezki. It is distinctive for its typical Victorian-era sentimentality and gentle rocking motion.
The primary challenge is maintaining a consistent, delicate cantabile tone throughout the melodic lines.
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 By the Brook by Anton Strelezki, Bon voyage by Anton Strelezki, Au Matin by Benjamin Godard — see the full similar-pieces list on this page.