Yes...i know the running to you thing as well. I know it could be due to 'mummy has food?' thing but I like to think that as they become familiar with surroundings, that you - being the owner - become familiar too. After all, they are seeing US every day, just like the plants, the lights, the food dish, the water dish.
I dont think its just food....I have had food right in front of Lily and he might trample all over that to come see me. Its lovely and why he is so special.
And I can see that special bond with you and your girls too xxx