Migrate from Stripe to Paddle integration for web payments ?

I am using RevenueCat with Stripe for web payments. I am considering migrating to Paddle, as it seems to handle tax collection in a way that is understandable (Stripe's tax system is so confusing).

How should I approach such a migration? What should I do with existing subscriptions? Is it possible to "cut" Stripe and have users' ongoing subscriptions remain active until the end of their period? When the end period arrives, I would just ask users to subscribe again via Paddle ? Or is there a better way?

If you are like me and want to share how your migration is going, please use this thread :-)