Hey RG, I got my tele out for a run at Wednesday nights rehearsal, it has a very old SD hot tele PU in the bridge, and I've put an Ultrasonic ref 3 in the neck. The bridge SD cut my head off with my current MP-2 patches. I've always meant to follow Dante's approach of setting up a bank (so 10 sounds/patches) for each guitar as their PUs are all different, just never got around to it. The MP-2 patches are tweaked for the Anderson which has Ultrasonics (Ref6 and 2 x Ref 3's). They also work fine for the JPLP (Burst buckers), but I noticed the other week when I gave my Epiphone SG a run, which has Gibson 57 re-issues in it, the neck PU didn't work very well with my current patches.
I've always sung and played from the get go, it does take practice, and mostly back in the early days was all one guitar and me singing. Later, playing with another guitarist and 2 strong singers I moved to just harmonies (mostly) which let me free on the guitar more. Really depends on the song as well. Some are easy(ish) to play and sing, others, where there is lots going on on the guitar, are much harder. The hardest was when I needed to play bass for a while and sing, not so bad for the straight forward stuff, but I struggled when the bass line was more sophisticated. I got better at it over time but it took some work. I suspect it would be similar for you, but hey, give it a go and see. At least tide you over until you can find a decent vocalist (which I'm sure you will

).