Dick, I have to ask: can you get a clean 1111 barre? I have a uke that has been setup, yet no matter how I try, I cannot get a clean 1st fret barre on it. My other tenors, have different degrees of difficulty and finger placement to get it, but no way on that one tenor. (I have to take it in to the guitar tech and have him adjust the nut.)
If you can barre the second fret on up, then it's probably the nut that is a little high.
Otherwise, Ukulele Mike Lynch recommended in one of his YouTube videos, that every time you pick up your uke you practice making barre chords.
First make a straight barre with your index finger at the 7th fret and pluck each string. Adjust the position and pressure until you get 4 clean notes. Then move down a fret, pluck, all the way to the first fret.
Second, do the same, fingering the D7 barre.
Third do it using a Bm shape.
After a while you can add the C string position, for the Bb shape. (And the moveable chord.)
If you can play it with the full barre, the two string bare is a piece of cake.
Pay attention to your thumb and your index finger placements. (If you're like me, my knuckles and valleys don't line up with the strings well. I was told to try my finger's overhang at the top edge. And if that doesn't do it, then change the angle of my finger across the fret as well. It worked. (With the suggestions previously mentioned as well.)
Every day, every time you pick up your uke. If it gets easy, start at the 10th fret. It will improve your strength and your finger placement. After a week or three, you'll wonder what the big deal was.
Then you can work on speed of getting your fingers into position quickly and accurately. (I still have some problems with that.)
You can do it watching TV playing softly to not annoy your SO. Good luck.