Just my .02... A B-Band after the install is going to be more than half the price of your Fluke (give or take).
When I had my second uke (a Hula Ukes tenor), I was wanting to get a pickup put in. The guy at the music store recommended I wait and get some more experience/better 'ukulele. He could have just let me go and had the extra sale, but he didn't. I came to realize how right he was. At the time a pickup would have just been a toy. After a year or two I had learned so much and I finally saved up and bought a Kamaka and had a pickup put in. Then I had a use for it and an 'ukulele that I would be staying with for a while (that was like 4 years ago).
I'm not saying your fluke is bad, I've heard great things about them, but you might consider saving your money until you have a higher end uke to put the pickup in. If you are determined, then you are on the right track. Better to do too much homework than not enough.
Just thought I'd share my experience.