You know the ones I'm talking about - great taste, mushy texture. I suggest you make tomato juice rather than just tossing them in the compost pile. Just cut the tomatoes into inch size chunks and set into a a sauté pan.
Cook these until they just come to a simmer. They will be soft and will have released lots of juice.
Pass these through a food mill on the finest setting or press through a fine sieve.
There you go. Tomato Juice. Bloody Mary anyone?