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Assistance in working out improvisation progressions and walking bass lines

From my current working knowledge of theory these comments are a tad over my head,

the concept you first need to grasp is harmonizing the major scale
the pdf in my signature explains it

In short:

Every major Key uses 7 of the 12 notes
(which notes are flat /sharp are in the key signature)

If you build triad chords with roots on each of the 7 notes
(and only use those 7 notes to build the chords)
You get a harmonized major scale

For example C major would have triads built on the root notes C, D, E, F,G A, and B

some of those triads are major, some are minor, some diminished.
there is pattern to this which is universal ( to any major key ):
  1. I major
  2. ii minor
  3. iii minor
  4. IV major
  5. V major
  6. vi minor
  7. vii diminished
uppercase roman numerals imply major triads, lower case are minor.
( but not all materials/TB posts adhere to this )

in the key of C for example:
  1. C major
  2. D minor
  3. E minor
  4. F major
  5. G major
  6. A minor
  7. B diminished

Thus the triads C A D G are not (strictly speaking) C major
because that requires A minor and D minor

However that root motion outlines a I-vi-ii-V chord progression
which is very common in western music
If you played C Am Dm G you'll hear it, and recognize it as many tunes

seeing chord progressions as these "roman numerals" relative to the key
(aka functional harmony)
is fundamental to understanding chord progressions.
 
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The D is minor and the A should also be minor. It’s a common do-wop / 50’s progression. The Dm is a substitution for F major chord.