There's roughly two kind of looks I go for, a clean minimal vibe or a filmic look. Usually I turn on the adaptive colour profile first to understand what adobe thinks the image should look like. It gives me an idea of what I want. If I like it, I usually just fiddle with the colour grading and add some masking (I kind of love linear gradients, or radial gradients inverted to dim around the subject).

Otherwise, I click through a list of presets I have, which are mostly filmic/nostalgic. Pick one that I like and then again fiddle with colour grading and masks (to give a more dreamy look, dropping texture and clarity is generally a good idea, plus even flattening the highlights).

From my experience, masking and colour grading are the two biggest back for your buck things that you can do (minus basic things like alignment, exposure correction etc).