Children love to get something in the mail all their own. Remember birthdays and holidays, but also send notes when nothing special is happening. It may be worth the cost of extra stamps to send a letter or card in its own envelope inside a larger mailing envelope. For very young children cut out pictures or cartoons to go with your note or send an audiotape. Offer companionship for activities they enjoy.
Companionship can take many forms.
For infants it may mean rocking or playing on the floor. Reading stories not only allows relating to children, but also helps build skills and knowledge. When children are able to read, let them do the reading to you. Companionship is not just the special things you do for your grandchildren or the places you take them, but also the quiet times when you are together doing everyday things. Let the children watch or join in as you bake, garden or work in the shop.