You can get Poirot through Amazon Prime, but you have to subscribe to BritBox ~ 6.99 a month. Also, Acorn TV carries all kinds of British TV, including Poirot and Doc Martin.
My wife, who was really confined to quarters because of chemotherapy, watched a lot of shows through BritBox. Acorn carries Doc Martin, which is really a hoot.
We recently unsubscribed, as she exhausted their inventory.
Does BritBox have The Benny Hill Show?
I’ve still got the last two seasons of Doc Martin to watch. It’s weird, but funny and interesting.
I have Britbox direct, watch it via Roku. So good, and most BBC and ITV shows are moving to it.