Hi Yonic, welcome to PokeCommunity!
We're almost in the same boat with the first game. While I did play Yellow first; the first game I actually owned was Crystal.
When you get a Gen VI game, you should get into trading ;)
[Trade Corner]
I'm personally into the breeding and trading aspect of Pokemon (games) so if you ever have any questions that you can't seem to find an answer to; send it over! I'll be glad to help if I can.
I do like catching them all too though; though it's become much easier with the advent of Wi-Fi trading back in Gen IV. It was always impossible for me to collect everything in previous Gens because of the lack of friends who also played.
And if you like shiny hunting, you'll be pleased to know that they increased the rate at which you encounter shinies in Gen VI :D I haven't done anything with shinies since Gen V though; so I'm not too sure about the exact rate you catch them at now.
Anyways, I hope you enjoy your time here :)