And of course maybe you don't actually want to do any 'figuring', in which case here's a little 'basic' chart that should get you most of the transpositions you are after:
A D E(7) F#m Bm C#m C F G(7) Am Dm Em D G A(7) Bm Em F#m E A B(7) C#m F#m G#m F Bb C(7) Dm Gm Am G C D(7) Em Am Bm Of course a capo is a simpler solution, here's a capo table to tell you where to put it to play in any key with any chord shape you prefer:
Key
playedBase chord shape to use A C D E F G A 0 9 7 5 4 2 Bb 1 10 8 6 5 3 B 2 11 9 7 6 4 C 3 0 10 8 7 5 C# 4 1 11 9 8 6 D 5 2 0 10 9 7 D# 6 3 1 11 10 8 E 7 4 2 0 11 9 F 8 5 3 1 0 10 F# 9 6 4 2 1 11 G 10 7 5 3 2 0 G# 11 8 6 4 3 1 -mike-