Some people are "committed" to finalyzing their work in Photoshop, others prefer to get optimal work out of Lightroom and, if possible avoid going to Photoshop if possible.
A lot depends on the photo(s), of course, and also on the demands of your work and workflow.
You don't say if you shoot Raw or jpeg, and that makes a difference as well. Lightroom, as well as Adobe Camera Raw, is designed to make use of the advantages of the Raw format, which has greater latitude in making "broad" adjustments to tones/colors, both in highlight and shadow recovery but also in a better all-over range of adjustments, whereas once you have converted to an RGB image (jpeg, tiff or psd) then the Photoshop editor has fantastic tools for working with those images and then Lightroom falls behind (except if you are using it to manage your library).
I happen to be in the "Lightroom only (if possible) workflow" crowd. So, I try to make maximal use of the various Lightroom tools with my Raw captures. Global adjustments like White Balance and those in the Basic panel, the Tone Panel and the HSL panel do great, and of course there are eyedropper tools for "targetted" adjustments. And the Detail panel has sharpening and noise reduction tools that have become quite sophisticatd and powerful. To me, they are not only useful for "capture sharpening" but often provide a very good final output image. But, the Export and Print functions also contain "output sharpening" which can be used to taste.
And then, Lightroom has the Local Adjustment Brushes and the other tools at the top of the Develop panel (below the histogram). If you've never familiarized yourself with these tools, well, you're missing something. Of course there is the Crop tool, the clone/heal tool, the rest of the set, but if you are serious about preparing an image without resorting to Photoshop then the brushes can apply a multitude of adjustments to an object which, by the way, includes both Sharpening and Softening brushes.
As far as processing after Exporting/Resizing an image, well, if it helps the image then so be it. Of course at that point there can be a lot of usefulness if you go into Photoshop for the various sharpening tools that you can get use of as well as other work that can be done to produce the finished product. Of course you could run the resized image through another round of Lightroom for "output sharpening" as well -- it's up to you and what you want to do!