You should not use any card that does not give you a 100% guarantee that you will not be held responsible for erroneous charges. It really doesn't matter the retailer – they almost all suck. The older the company or the faster its growth, the more you should worry. Push that worry onto Amex or your bank.
PCI is surprisingly easy (and anyone can look it up at https://www.pcisecuritystandards.org/security_standards/docu...). It's basically all about "data at rest," covering what can be stored, how it must be stored, and how it should be stored. If a merchant can't meet the requirements, then they are required to demonstrate "compensating controls" which can literally be "we have a project in place to fix this before the audit a year from now."
"Data at rest" involves (in this case) credit card information stored on "disk" (SSD, etc.) for more than a short period of time. This generally excludes virtual memory, some queueing software, etc. If it touches the disk for ten seconds but is then wiped, you're compliant.
Then there are a list of "musts". You must have firewalls protecting the internal network (and review the rulesets), documentation on any connectivity to cardholder data, dataflow diagrams, only allow essential traffic in the card info environment, wall off wireless access, have an IPS, change all vendor defaults on any devices that could possibly screw you, minimize server responsibility (so don't run your smtp relay on the machine that also encrypts your card info), rotate encryption keys every x days, don't store CID/CVV/track 2/full mag-tape data from the card, scan your systems for changes/compromise/unauthorized access, maintain nonreputable audit trails, etc.
PCI is ratcheting down the requirements so that there is less room for interpretation. Previously, just using Oracle's obfuscation toolkit would be enough. This would protect you (more or less) if someone had access to your block device in raw mode or your data files in what-the-hell-is-your-dba-thinking mode, but an Edward Snowden could log in and SELECT all of your card info.