Hickory ID?

I came across these saplings under some pines in my yard. I believe they are hickory. If so is there a way to identify what kind of hickory? More importantly I would like to move them to a better place in my yard. The small one is about 6in and the other is about 2ft. Is now a good time to transplant? Is there any special method to transplanting?

Looks like hickory. If you're in CT it's likely shagbark or bitternut hickory. The leaves look more like shagbark hickory to me, which is great for you because those hickory nuts are far tastier than a bitternut. Once the little tree puts on buds you can tell for sure. Do a google image search of each species buds, but bitternuts are a dead give away because they're yellow and smell exactly like a gin and tonic, no joke!
As for best time to transplant, wait until the fall when the energy is in the stem. This is just before the tree sends a ton of sugars down to develop a deeper root system and is likely to be your most successful time to transplant. And I've had the most success with what some call the Sepp Holzer method, but you basically just dig a large square around them and go really deep so you get the desired plant's roots along with any other surrounding plants and then transplant that whole chunk of soil, roots and above ground parts to your desired location. You can weed out or mulch the other plants once the trees are established.

Thanks Sam you're the best