I'm currently using the Adobe CC, which includes Lightroom and Photoshop. I used Lightroom about 98% of the time for post processing and still find it's worth price paid for monthly (9.99USD/month).
The benefit of using Adobe CC is the program always stay up to date and there are more and more features being added as time goes on. For example, compare to Lightroom 6 & CC, the new Pano stiched now includes the feature of automatically filled the blank spaces when you try to stitch multiple images together. This is something can only be done via Photoshop for previous versions. Another example for Photoshop, is the powerful face liquify tool, which is extremely powerful and easy to use for portrait photos.
Then you have the Goolge Nix collection plug ins, which it's free and work with previous versions of Lightroom.
As Lightroom and Photoshop are the standards and most widely used photo editing softwares, it is much easier to find help for anything you need on the net.
However, there are other options available out there ranging from free to a more affordable one-time purchase software, instead of the monthly subscription from Adobe.
As 123Barso123 stated, there are free software such as Gimp or Raw Therapee, both I did not have a chance to used it so I don't say how good the program is.
There is another photo editing software coming from UK called AFFINITY PHOTO, you can download and try it out before commit to purchase it. It also have a bunch of tutorials on how to work with it.
For tablet, Adobe also have Photoshop Express for free, and includes the face liquify tool. I try it on iPad and it work wonders. It is also available for Android versions.
Another free but powerful app for ios and android is the Snapseed app.
There are lots of other programs instead of Adobe CC and you can always find one that suits your needs. But remember to always do a trial to see not only if you like the workflow, but also if your computer can handle the program. I try Affinity Photo, and for some reason my computer process quite laggy compared to Lightroom and Photoshop.