Movable A Minor
Movable A minor chord
Use the "alternative A minor" chord and move it up the neck.
At the 2nd fret it is a "B minor" --- Move up 1 more fret for "C minor"

Move "A" minor up one fret for "Bb" minor.
Again you can choose to stretch your 1rst finger to the 5th string or not.
It's your choice.
Keep moving up the neck and you get the chords
"B minor, "C" minor","C#"minor", "D" minor and so on.
Review and Summary
Movable Chords List