100% the right choice. For the around the same $700 a playstation pro costs, you can get something good. If you can pony up around $1000, you can get something great.
You'll make the cost difference up in game price savings in no time. Shit is legitimately cheap, especially if you're in no hurry.
I updated the above with some links. This is spec'ed solidly for around that price:
https://pcpartpicker.com/guide/dLgXsY/modest-intel-gaming-build
I personally prefer AMD to Intel at this point, but it's a touch pricerer right now:
https://pcpartpicker.com/guide/yhwrxr/modest-amd-gaming-build
Either one will work great, but the $1200 rig is where I would recommend if you can swing it. It's the best bang for your buck, and will stay a solid gaming rig for 4-5 years, longer if you like indies:
https://pcpartpicker.com/guide/PCWG3C/great-amd-gaming-build