Definitely looks like English Walnut. The leaves on Black Walnut and Butternut are more pointed like a spear. If you plan to move and take trees with you, plant them in a deep pot to allow for growth of the central tap root. Also consider timing, if moving in the fall. Collect the nuts and store them in a slightly damp peat moss inside a larger Ziplok type bag. Keep them in the fridge on lower shelf so they are cold. Locate the large (3 gal.) pots you need and fill with a starter soil. ProMix is good. Check every 3-4 weeks and let fresh air into the bag. You are basically replicating a natural cold period for the nuts. By March you should see signs of the tap root emerging. Carefully remove and plant the nut in the pot you have prepared. As mentioned in other posts, protect with wire mesh to keep squirrels out for a least the first year. I have had squirrels chew thought the sides of pots to get to the nuts, so consider taking the wire mesh down to the base of the pot.