Most standard PS4 comes with 500GB storage (its 2.5" sata hard drive), you can upgrade internal storage it by yourself to 2TB (SSD is better over hard drive for speed) by buying drive from computer store. Affordable 2TB SSD starts from around $170 by Crucial BX500 2TB 2.5 inch SATA SSD, or you can spend $100 more for Samsung Samsung 870 EVO 2TB 2.5" SATA SSD at Under $300.
Here's a brilliant video on YouTube by TechnicallyJeff for installing a 2 TB SSD in PS4 internally.
After upgrading to SSD from stock hard-drive game loading will improve by ~30% or more. Generally on reddit users have reported that after SSD upgrade " loading times, texture LOD loading (ie higher res textures loading in quicker) and general UI will be improved (UI feels less sluggish)."
Even after 2TB internal storage expansion for PS4, you can still add more external storage

So in short, you can upgrade storage capacity of PS4 to 6TB by under $380 cost price and keep all your favorite games in one place
