I’ve a RealDebrid subscription and stream from their servers to my kodi. Not just Amazon, all the services. $3/month, give or take. Might take a few hours/days for something to pop up, but I often don’t realize days that shows are “airing” or released, so I’m pleasantly surprised when it pops up as available.
And if you’re not using a desktop, get an adapter that connects with a power supply to electrical mains power