You can actually check a Pokémon's IVs directly by going into the menu with 'X', selecting Pokémon Box, and selecting the Pokémon you want to check. Scroll down to 'Check summary', then press 'A' to show more details. Just like that, you'll se your Pokémon's IVs.
The only problem with this is that there's no real indication of whether or not the IVs are actually good unless you're a mathematical genius. What you need is the IV Judge ability.