Free Add-on: Subdivide Select New

Subdivide a face, edge loop, or face ring and have only the new vertices and edges selected: ready for the next operator.
Funkworks writes:

When you run Subdivide, the midpoint verts and inner edges are there. If you want to bevel, slide, or extrude them, Blender’s *original* selection is still active, with the new geometry mixed in. The new geometry has to be isolated by hand before any follow-up operator will act only on it.

Checker Deselect depends on traversal order; on a face ring it grabs every other element regardless of whether it’s new or original. Select Less peels off the boundary, which doesn’t isolate the new geometry. Select Inverse requires re-selecting the new geometry manually. Each step requires manual filtering or re-selection.

Subdivide (Select New) does the same subdivide, then deselects the original geometry and selects only the vertices and edges that were just created. Your next operator acts on the new cuts and nothing else.

It lives in the Mesh menu and the right-click context menu in Edit Mode, and it’s searchable via F3. The redo panel exposes the same full parameter set as the standard Subdivide: Number of Cuts, Smoothness, Create N-Gons, Quad Corner Type, Fractal, Along Normal, Random Seed. The vert/edge/face selection mode you were in is preserved.

It’s free and open source. ~80 lines.