I have seen black plastic tubs with thick white nylon handles at Bunnings. The tubs look like the black plastic plant pots they also sell. I don't know if they have holes in the bottom though.
They also sell tough plastic carry baskets which are softer than tubs and more flared, which may not be suitable for planting, but are a similar material to the ones in the photo.
If the reason you want handles is so that the pots are easier to move, you could consider putting ordinary pots on those circular wire frames with wheels that they and probably many other stores sell.
I haven't seen any like the ones on the webpage though. Hope that helps.