Agree with all of the above, we aren't great at offering when out and about either. At first, when I was all gung ho - we did and often it worked - thankfully never dealt with an electronic eye toilet, because yes... that's scary! I actually think the flush in general is scary on a commercial toilet!
We do use the Potette Plus regularly, with some success. I especially use it on road trips where I know she will probably fall asleep because she almost always pees (and sometimes poops) after a nap.
Otherwise, when she was a little younger/smaller, I have peed her in sinks in public - of course, I probably wouldn't have done that if anyone else had been in the restroom at the time for fear they would think it was gross.
As it gets warmer, I also like to offer her our grass or a plant when we get home and did this quite a bit when younger as well (also when we were house shopping, I would sneak off to the side of the house an allow her to pee before we went inside).
So now that my DD is a year old, I'm toying with trying to offer more out-and-about pottytunities... especially because we are having fewer successes during the day (she's on the verge of walking). I wonder if this will contribute to more successes at home as well?
Whatever you decide, know that part-time at home is enough for your little one to "get it" and from what I hear from others, your little one will be begging you for the toilet once you are out and about!
Good luck with your journey!