This is a parlor piece from the late Victorian era, characteristic of the light popular music of its time. It is defined by simple harmonic structures and a modest, dance-like rhythmic profile typical of early amateur-friendly piano literature.
The primary challenge is maintaining a consistent, light articulation throughout the recurring melodic patterns.
Comparable difficulty and character — good candidates for what to learn next.
Bob Baker is rated Henle level 2 of 9 — beginner repertoire, roughly ABRSM grades 2–3. In the RCM system it corresponds to about level 2.
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 Bob Baker lasts about 3 minutes.
Bob Baker 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 Bach-bwv-anh-114 by Johann Sebastian Bach, Bach-anh-114 by Johann Sebastian Bach, Blumenwalzer by Léon Jessel — see the full similar-pieces list on this page.