PC Gaming certainly has plenty of advantages over consoles but it's not a one way street.
PC Gaming Pros -
High FPS (I'm a traditionally console gamer but the difference between 30 & 60 FPS is amazing)
Superior Graphics (1440p/4K can't be done by consoles yet)
General performance - even a 7200rpm HDD is quicker than a console's. SSDs are far superior.
Mods (although this seems to be less relevant these days)
More controller options (joysticks, PS4/PS3, Xbox controllers are usable without too much effort 99% of the time). Personally I hate KB/M for for most FPS/RPG/Third Person games. I use my PS4 controller instead. But for RTS KB/M is unbeatable. For flight sims its a combo of a joystick & KB/M.
Virtual Reality, Track IR, Eye Track soft/hardware
Generally cheaper games & decent backwards compatibility
Versatility - your gaming PC can also download, browse, stream, photo/video edit, word process far better than any console.
No on-line gaming cost
Console Gaming Pros -
Much cheaper set-up costs especially as you'll almost certainly have a TV already. Consoles do tend to last at least 5yrs before a replacement comes along. As a PC gamer, you want to stay at the top, you need a new GPU & CPU every couple of years.
Offline Multiplayer - I've also been a massive fan of Split-Screen gaming. It's a shame it seems to be dying a slow death though.
Plug & Play - the feeling of a game just working straight out of the box is great. Unfortunately Day One patches seem to be common so this occurs less. Still, you're far more likely to encounter issues while gaming on PC than console.
Optimisation - Consoles may seem underpowered but as the games are optimised to run on them it's not as big a difference as what is sometimes made out. Uncharted 4, for example, puts all but the best/most modern PC games to shame in terms of graphics.
Some versatility - Consoles can't compete with the PC here but most offer Netflix, Amazon Prime TV, Iplayer etc. Blu-Ray capability is included as standard in the latest generation.
Size/Weight - Unless you've deliberately built yourself a Micro/Mini ITX machine, the consoles are far more ergonomic. Having a PS4/Xbox in your lounge is a lot more practical than a monster gaming PC.
Less cheating/hacking - The PS4/XB1 are still unbroken & therefore cheating/modding/hacking is much rarer than on PC.
Summary:
If you're a really casual gamer than a non-gaming cheapish laptop will do you fine.
If you're a midrange gamer a console will suit you best in my opinion but you could also consider a midrange PC.
If you're more interested in high end gaming then a PC is absolutely the best.