Here I've compiled the simplest inversions of most of the chords for mandolin and Tenor banjo. The shapes also relate to the fiddle. There are four or five inversions for most chords on the Mandolin, these are the one's I use.
What size ‘ukulele you play means a lot visually and sonically, but almost nothing when it comes to actually playing music (except for your familiarity with the feel of the size). Different strokes for different folks. It’s a matter of personal preference