Bikes on trains Newton Abbott to Plymouth

We're off to Santander from Plymouth at the weekend and have booked a ticket from Newton Abbott to Plymouth. They would not take a bike booking when booking our ticket and said bikes on the train are ok but there was not the facility to reserve a place for a bike. Has anyone had any experience of taking their bike on this route?
Many thanks
Many thanks
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Many thanks for the telephone number - I called and reserved our bikes on a train 10 mins earlier than we had booked. They said that the train I had already booked for would take bikes but we would have to take a chance if there were any spaces available - not what you want to hear when you've got a ferry to catch! When I asked was there any other trains running which I could book our bikes onto - hey presto there was one 10 minutes earlier so I've booked our bikes on this one with reservation numbers.
- at least going out of London. The one you couldn't reserve a space on must have been some sort of local/regional service.