I haven't stayed at BCV yet, but at OKW we had a restaurant-style wooden highchair - the kind with no tray that you just bring up to the table. I would imagine that all DVC resorts would have the same or similar highchairs. I'm sure someone more knowledgeable will come along soon to answer your question.
We phoned housekeeping and they brought one up for us, unfortunately thought they're the types for older babies, DS was 4 1/2 months old at the time couldn't use it.