You may already be familiar with the DYK rules by now, but in case you aren't, you can check out the official rules and the Additional Rules. You may also want to look into some useful tools that can allow you to review nominations more quickly: the Cut & Paste character counter is a helpful JavaScript to calculate the length of hooks, and User:Dr pda/prosesizebytes.js is a script you can install on your own Wikipedia account for more heavy-duty article length calculating.
The best way to learn is by doing, but here is also a quick reference of the things to check for each hook you review:
Quick Reference
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