Most seamless offsite payment processor?

I hope this is an OK place to ask about this, couldn’t find a forum on the WooCommerce.com site.

I have to setup a small shop, only about 6 items. The folks I’m working with really want to push security/liability issues onto someone else, and I’m not going to argue with that. I also have no problem with paying for any extensions that will help us out.

It looks like there are a handful of payment gateway extensions that pop the final checkout steps in an iframe. That said, there are hundreds of extensions, and some are not particularly clear about the nomenclature to describe whether final credit card entry is handled offsite.

Any recommendations? Having this as seamless as possible is the biggest priority.

Thanks!