Dedicated Graphics Card

You definitely — I'd say always — want a brand-name video subsystem from the current middling-power lineup. This usually means Nvidia or AMD. Never buy a laptop that's so cheaply configured it's using Intel or base chipset graphics — this "business" level of display is, as it implies, good for Word, Powerpoint and browsers, and not much more. I'd venture that a laptop with Nvidia 2xxx graphics is still in a modest price tier, and all you need for InDesign and moderate Premiere work.

RAM pays off, though. 16GB is a minimum these days. And I don't think many laptops still come with HDDs, but an SSD makes a HUGE difference in performance, so don't save those few dollars of extra cost, if necessary.