Where to capo for Db Dorian
Put the capo at fret 4 and play Db Dorian using Bbb Dorian shapes. That is the easiest of the eight positions ranked below, and it is what most players reach for. Against playing Db Dorian open, it drops the mean difficulty of the key's seven chords from 5.2 to 3.4 and gains 11 ringing open strings.
You want Db. Capo 4 and play in Bbb.
All eight positions, ranked
Each row transposes Db Dorian down by that many frets to find the shapes your hand would actually make, then scores the best voicing of all seven chords — fewer fingers, less stretch, closer to the nut, fewer muted strings. Lower is easier. Standard tuning (E2 A2 D3 G3 B3 E4).
What you are playing
The seven chords of Db Dorian are Dbm, Ebm, Fb, Gb, Abm, Bbdim, Cb — the ones the ranking above is scored against. Their diagrams are on the Db Dorian key page.