I have been a long time Lightroom user. I know use Lightroom Classic, which is basically the “old” Lightroom, as opposed to the current Lightroom which is cloud based (vs Lightroom Classic where photos are stored locally).
Adobe has a photographer’s bundle for about $10 / month that gives you LR Classic, Photoshop, Bridge and a few other less useful apps. I do see sales on that all the time for new users.
LR is a comprehensive DAM (digital asset manager) and photo editor that handles raw files from a variety of cameras well. There is always debate as to which raw editor does the “best” rendering, of course.
LR is used by a large number of professional, semi-professional, and amateur photographers.
I have tried Capture One and it is very highly regarded for its raw image processing, but I haven’t personally found it worth jumping on a new learned curve to date.
I wasn’t aware of PhotoMechanic Plus but plan to have a look. PhotoMechanic is a staple for sports photographers because it is widely felt to be the best app available for rapidly ingestive, reviewing, tagging, and creating EXIF data for large numbers of images, which is pretty much bread and butter for sports photographers. I imagine the same might be true for wedding photographers, but I use LR for that and find it works well for me. Of course if you have large numbers of images you need to import rapidly, a hybrid approach where you ingest, review, rate, tag, and caption in PhotoMechanic and then process the selects in another app might work as well.
Other choices include Skylum Luminar (which I think is on SetApp now) and On One Raw (or something like that).
There are a lot of choices now, and it’s worth downloading trial versions and seeing which workflow appeals to you.
Update: PhotoMechanic Plus is NOT an image processor. It adds database functionality to PhotoMechanic, but does not provide raw imaging processing or editing features. As such, you would still require a second app to do any image editing desired.