Is this a stage mic or a recording mic you're looking for?
And how high do you hold your ukulele when you play? If for stage, and you hold it high, I'd go with the biggest diaphragm condenser you can afford (medium at least), as it will pick you and the ukulele up. I don't really see much reason for a dynamic for either setting, as you're not going to get the sensitivity you'll likely want. I've never had problems with condenser durability on stage. And if you have a nice ukulele, you might not like the high-end roll-off of a dynamic. If for stage, and you hold it low, you'll need 2 mics. The vocal mic, again, I'd go for a bigger-is-better condenser.
For recording, it depends if you're going to multitrack. If yes, then get the best mic you can afford. If not, then you're basically playing live anyway.
All this being said, I recorded my Kala acacia with a C1000, then an SE1A, and finally an SM57, and couldn't tell the difference in frequency response between them. The moral: my Kala actually has VERY little high frequency output. I imagine my custom all Zebrawood actually has similar characteristics. Hmmm. May need to test that...
Final question: are you clumsy? If yes, get a dynamic for stage work. Surround yourself with pillows for recording work.