zapier and azure logic apps are both options you should look at. Zapier's coming along but is really about enterprise integration. Logic apps are quite simple, but personally, I discovered that they can be expensive if you don't keep an eye on them (you're charged per step).
AWS Lambda and Azure Function Apps are both good hosting options for scripts which must "just run" - although Azure's python support is awful. I have some C# scripts running on Azure which "just work" (like a twitter bot I built), and having someone else look after the server frees me up to do other things (like hack together my code until it works). Azure Function Apps can be stupidly cheap too - you get millions of executions per month for basically zero.