I’m in Neuroscience. My favorite way to keep up is rss feeds of the 5 best journals (100-200 titles per week), rss feeds to the relevant pubmed search terms (20-50 titles per week) an google scholar email alerts to some of the most relevant researchers in my field, auto forwarding to kill the newsletter, and read through rss (50-100 titles per week, lots of duplicates). So every day I aim to open the rss reader and burn down the unread count. Papers that are really relevant to my research tend to show up 4-5 times over 2 weeks this way, so it’s hard to miss it. Which journals: you know that if you have been in the field for a while, if not, ask your colleagues and mentors where they publish and what they read.
Bad papers sliding through the cracks: it happens, you don’t know unless you read it.