I use Bridge/ACR and PS. The LR Develop module is essentially the same as ACR (Adobe Camera Raw).
FWIW - I'll share my workflow.
First, know that I have a folder structure set up on my four internal HD's. When I want to find something, I know which internal HD it will be on and what folder it will be in.
After returning from a shoot, I transfer the files - using a card reader - from one of my 2 external HDs I use when on a photo trip.
Depending on the volume of very similar images (i.e. birds in flight, etc) I will either do initial culling in Photo Mechanic or Bridge. For wildlife images I sometimes use Photo Mechanic, all other images I use Bridge.
While in Bridge, I also use star ratings and do keywording.
I process raw images in ACR (Adobe Camera Raw).
I do final clean up, if necessary is done in PS. I also use Nik Color Efex Pro filter Pro Contrast to correct for any color cast and Darken/Lighten center to add a vignette if desired. Then I do output sharpening on a separate layer in PS.
Then I create a jpg.
Then I review all the images slated for deletion. Once satisfied that I've dealt with all the keepers, I delete the outtakes.
THEN - I import the folder to LR Classic to take advantage of the catalogue features.
It is very rare that I want to re-process an image, but when I do, I usually use ACR/PS and then re-synch the folder in LR Classic.