We don't need that many barre chords in ukulele, when we can use open chords most time instead.
I will now go and find out what barres I use and tell here with major and minor chords and their dominant 7ths, but I'm not giving fingerings as you can find them here
https://ukebuddy.com/ukulele-chords.
There is Bb and Bb7 moved upper sometimes, but say B7 can be played many times with an open chord very conveniently. Also there is Bbm. But with that chord too You don't need to move it up to maybe more than one fret.
There is D7, moved down to C#7 or up to D#7 /Eb7).
There is Db (C#) that I don't move upper normally.
Then Ab (G#) that I move usually only down.
Cm I sometimes play with barre 3 string hold, but you can use also a 3 finger grip.
Fm7 is used also for F#m7.
Those are about it. You just need learn the open string fingerings for most chords and not depend on the barre simpletons
When strumming you can often release the barre hold soon after for rhythmic purposes, not so easy for fingerpicking though. Maybe just stick to keys with less barres for that?
EDIT:
I forgot Bbm7 that I raise up to 3rd fret for Cm7, this being the hardest to finger barre with all four strings. First fret barre chords can be very difficult if the nut action is too high.
Could be some others too that I forgot.
