Stripe is much easier to integrate than the x.com/paypal.com family of conflicting api's, all of which lack easy to read documentation.
https://cms.paypal.com/us/cgi-bin/?cmd=_render-content&c...
Compared to
Stripe doesn't have a history of randomly locking accounts, and even if they do (if you process payments, I can understand the legal need to now and then) their customer support is so responsive and helpful I wouldn't really mind.
Stripe is easy to use. The web UI is fast, the api makes sense, I get joy out of it.
Stripe sent me a real, physical letter, to thank me. I was one of the early users of the beta, and we all got real letters, on thick cardstock, I wish I had taken a picture of it. That may be a virtue of being a small userbase startup, but if you start with that mentality, it means a lot.
Paypal does have slightly lower fees, but Stripe is worth it.
Paypal also makes it easy to add a paypal pay button to sites, but those a fraught with stories of accounts shut down, and are ugly.