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I don't collect timetables as in keeping them. When they are changed twice a year, I tend to go around London stations and replace the old ones with the new ones.
If I'd kept them all, I'd have piles and piles.
When I still lived with my parents, my mum wanted to throw out the out of date all-line timetables I had, so I hid them. A few years after I moved out (and took them with me), I told her what I'd done - she was quite amused!