Tell me about it... I'm always up to my eyeballs in bramleys come the autumn. I only keep a small James Grieve and a crab apple to pollinate the bramley.
Only thing, I can't store them as I can't reach the fruit without a ladder (oh the joys of being undertall and having a full standard tree), and so I wait for them to drop. Mind you, they do make a fabulous jam, and they're good for making apple butter and various chutneys. Which come in SO handy as nice gifts at Christmas.
Not to mention apple sauce, apple cake and apple crumbles, of course...
I avail myself of keeping apples from the community orchard. I've still got five trays left, two of cookers and three of a late season dessert apple.
TBH, I'd recommend getting a keeping dessert / dual purpose apple rather than an outright cooker. I really rate Lord Burghley. They're a relatively late apple, but do keep well over the winter - just finished the last of them the other day. They're a burgundy-skinned apple with cream-coloured flesh, crisp yet juicy, tangy rather than sweet, and with a real depth of flavour you don't get in commercial apples.
If you're looking for a mid-season dessert apple, then a Cox's Orange Pippin if you must, but I recommend Chivers Delight instead. It's similar in type, but with a much better flavour.
Bramleys are the most acidic of the cooking apples and as a result, perhaps not to everyone's taste. My favourite is Murfitt's Seedling. It looks like a smaller version of a bramley, but it is markedly sweeter, and with keeping, you can actually eat it as is.