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Use what Pokemon you like. Types and strengths are important, but using Pokemon you like is more important. You're gonna be spending a lot of time with them!
Talk to everyone and explore everywhere.
A lot of people keep one Pokemon in their party for HMs (They're moves used out of battle to cut down trees, surf around, etc. They can't be replaced with new moves- only deleted, so it can be a pain to put them on your main team)
Always keep a few Pokeballs with you, some Antidote, some Paralysis Heals, and some Super Potions.
You can let you Pokemon hold items by selecting the item and selecting Give. Man made objects won't work (Potions, Antidote) but items that have held effects (Leftovers, Pecha Berry) will be used in battle.
You can access Pokemon Amie and Super Training once you get your gear. On the bottom screen, click the little arrow on the top left and right to switch between them.
Have fun! They did a lot in X and Y to make it easier for players to take their time, explore, and have fun.