I would suggest to shell out some more money and go for a PS4/ XBOX One. These consoles are much more powerful than PS3/ xbox 360 plus there is a difference in graphics performance between the two generations of these console. Some games in the future wont be available on the PS3/ xbox360 like the upcoming NFS etc so its more future proof. Plus multiplayer gaming is better on consoles.
Going for a gaming desktop will set u back atleast around 80,000 for a decent rig. But u can upgrade if you want in the future and u can download games from the internet whereas you have to buy games for consoles which cost 5000 minimum.
As far as your laptop is concerned. It is extremely difficult to upgrade a laptop. According to some its impossible because the CPU and the GPU are usually soldered on nowadays to save space and make laptops slimmer. Also i own a pavilion dv6 core i7 with a nvidia card and after gaming for a while it starts getting hot as hell. So you'll have to do something about that also. Get a cooling stand etc.
So in my opinion buying a console like PS4 is your best bet.