I use the SilverEfexPro plugin for LR as first step, selecting one of the film simulation which seems idoneous to me. Than I refine with LR, contrast, a little dodging, a little burning, some other minor tweaking. I do not convert the DNG to jpg but to TIFF.
With LR which I use since the first version it is very easy when I want to post a photo to export a jpg with the desired sizes and weight via a preset it's only one or two clicks.
I sometimes use PS but mostly no to forget how it works than a real necesity !