Working with Stripe and PayPal are essentially the same if you use best practices. Stripe can do the payment page and redirect if needed and can also capture paying info from a static page that is submitted via JS in the background. In the end you'd get a simple token that's just a reference to the payment details in Stripe (just like PP). If you integrate with the Stripe payment page then they will even remember you across sites (again, just like PP) and you won't have to input payment details.