This piece by Doc Cook is a lively composition often associated with the early jazz and ragtime piano tradition. Its structure is episodic and relies heavily on rhythmic vitality rather than complex harmonic development.
Ensure the left hand remains strictly in time to provide a solid foundation for the energetic right-hand melodies.
Comparable difficulty and character — good candidates for what to learn next.
Bo-Peep is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 3.
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 Bo-Peep lasts about 3 minutes.
Bo-Peep 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 Blumenwalzer by Léon Jessel, Bluin' the Blues by Henry Ragas, Bohemia by Joseph Francis Lamb — see the full similar-pieces list on this page.