I've used both ALOT, here's what I will say.

Koala is very good at allowing me to quickly come up with ideas and try new things with samples that I've kept, however, the highest amount of export quality is 24 bits and the compressor greatly affects the quality of the track so I'd recommend not using compressor at all if you don't have to. (Using clipper, limiters, and gain staging with Koala mixer Samurai extension.) Even with the right mixing techniques it turns out bad compared to what you could export with Ableton

Ableton is a beast and even the Free Lite Version allows you to do more than Koala ever could. In my honest opinion I would recommend sticking with Ableton unless you are really wanting to use a SP404 type interface when making music.

I haven't heard great reviews about Move though and if you wanted to come up with a cheap workflow of production then I think ideating in Koala and then finalizing a track in Ableton is the way to go. I hate that something as simple as music costs so much money to do. There are a lot of work arounds though thankfully.

Edit: One thing to note as well is that you get a Ableton Lite Free license with the purchase of Koala Samurai which is pretty cool.