I love the way recycling operates in our streets. Our local council does a great job. There are yellow-lidded bins (paper/glass), green-lid bins (garden clippings) and red-lid bins (everything else) for every household.
But our street has been developing its own system: if you have something you no longer need, but you think other locals might like, just leave it out on your nature strip, preferably on a Saturday, and by Sunday night it'll probably be gone. Works most of the time, too.
I collected up the cuttings then put them in a dry spot and then let them dry for a few weeks, with the aim of drying off the base of each cutting (the bit you stick in the potting mix). If you don't let the cuttings dry off, you run the risk of rot developing around the oozy cut after you plant the cutting into potting mix. And that's basically all I know about striking frangipani cuttings. Our tree is grown from a cutting taken 11 years ago, so it's a good way to get started.
Finally, one little footnote to our street's informal recycling system ...
This Monday morning I went outside to collect the plastic bucket in which I had placed all the cuttings, and even the bucket had gone! Fortunately, it wasn't my best bucket ...