WooCommerce Paypal Express Extension:
Are you looking for an alternative to WooCommerce default checkout process. If yes, this extension is the method to do that. WooCommerce Paypal Express simply adds checkout with paypal express button in cart page and customer will be able to directly from Paypal using it. So customer will be taken for Paypal payment instead of woocommerce checkout.
Most interesting part is that once payment is done using Paypal Express, customer will be taken back to your store for shipping and other details. Further as customer does not pay on your website, you do not require SSL certificate.