Hi there Purple!
I'm mostly a food-grower, so rooting in my windowsill now are Romaine lettuce, celery, spring onions (OK, they already had roots, but still do best if put them in water for a while before planting), and pineapples, all from grocery store leftovers. Free food always seems to taste best to me
I've propagated rosemary by putting an 8-12" branch into a 1 gallon pot of soil, buried about halfway. I pinch the very top so that the new growth will branch, strip off all the leaves that would be below the soil, and dust with rooting hormone. It takes a couple months to start putting on new growth, and you almost want to give up, but I've had 100% survival with this method and enough patience. Rosemary has rotted on me when I've tried to root it in water with rooting hormone.
I'm curious for pointers on Christmas cactus (thinking it's similar to your Thanksgiving cactus, but I see JB has done it too). There's a gorgeous one in the building where I work, and I could probably sneak a piece without anyone noticing.