bean is 13 months too, he usually eats some of our plates, but i always take -
fresh fruit (grapes, kiwifruit, ripe pear, strawberries - i just cut and peel at the restaurant)
dried fruit (raisins, prunes, apricots, dates - in that section of the supermarket you can get bags of mixed orchard or tropical fruits, and bean loves them all - again, i just chop them up at the restaurant)
cereal (loves kashi mighty bites, cheerios) or crackers
and as you do, rice cakes.
i don't worry too much about what he has to eat when we are out, cause i know his next meal at home will be a good one.