A good chord progression from a B diminished seventh chord (Bdim7) to an E diminished seventh chord (Edim7) could involve adding a dominant seventh chord between them to create a smooth transition. One possibility is to use the dominant seventh chord built on the fifth degree of the E harmonic minor scale, which is B7.

The progression would be:

Bdim7 → B7 → Edim7

Here's the breakdown of the progression:

1) Bdim7: B - D - F - Ab
2) B7: B - D# - F# - A
3) Edim7: E - G - Bb - Db

This progression provides smooth voice leading and a strong sense of resolution. The B7 serves as a dominant chord that resolves to the Edim7, and the chromatic movement in the inner voices creates a smooth transition between chords.
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