I use photoshop almost everyday (not for pixel art, it is too slow for an animation workflow).
I have Pyxel Edit on my PC, I even used it for some tiles but for animation I don't know, it's not simple as in Aseprite where I do both: Animation and Tiles.
The newest software I purchased is Pro Motion NG which is the most advance of all of these, it have so many features of almost any professional 2D Animation software I used but it's dedicated for pixel-art.
I should give it a try, the Tileset in Pro Motion NG is the most amazing one I've seen for designing and tweaking full levels in a super simple way based on their UI, but still... I need to give it a try as it's already installed and waiting for me to try it.
For now... Aseprite is my best friend as it's a lite software and I already got used to it's workflow.
I do recommend you to try other tools.
All these pixel-art softwares are wonderful and mostly lite especially Pyxel Edit and Aseprite, not so hard to learn them compare to Photoshop or Pro Motion NG which are much more complex and rich with many extra features that not everybody needs.
On my daily job (Animator at the Studio) I'm using Toon Boom Harmony and it's a none-pixel art animation software, it works on Vectors and Rasters (Yes, even combined!) so I believe it will have a dedicated work flow pixel-art environment in the future but, consider it's price it is not for everyone.
My best tip for you:
1 Software that does many tasks will provide you a much faster workflow than few softwares together for example Pyxel Edit + Photoshop I do all in Aseprite, and probably it will be easier in Pro Motion NG.
I hope this helps