You can use the Big 3 Triad shapes to quickly find chord families across the neck. You then have lots of options for playing any chord progression. Start mixing the different inversions together in one position and you’ll find many different sounds and textures for your chord playing.
These shapes aren’t only good for chords though. You can use these as arpeggios in parts or solos, and connecting the chord family is basically just playing the scale on three strings at a time starting from each chord tone of the major triad. So these can help you better understand little pockets on the neck where the scale pattern feels really comfortable to play next to the chords, and you can import that way of thinking into your improvising.
So, I cover 12 triad shapes that you can play the chord family in, derived from the Big 3 Triad shapes. If you want to know more about these fundamental patterns you can check out this lesson to hear a fuller explanation of the basic idea. https://practicemakesbettermusic.com/the-most-important-patterns-for-understanding-the-guitar-neck