They seem to be very similar to me.

Both Stripe and Braintree are priced at 2.9% + $0.30/transaction. If you're doing any notable amount of volume, you can do much better...closer to 2%.

PaypalPro used to automatically give you lower rates, down to 2.2% + $0.30, at volumes well below what Stripe requires to "contact sales" and get a discount. Last year, they eliminated that, and went to the 2.9% + $0.30.

It seems you have to get your own merchant account, and use something like authorize.net now to get decent pricing.