There is no real NYS&W "yard" in Syracuse, but there's a couple storage tracks at Armory Square and a siding in Jamesville. With the station closed, there really is no public access to the tracks there - you can kind of see things, but it's elevated, and some of the former parking lot on the south (RR west) side of the tracks is blocked off as they're building a sewage treatment plant there. There is (was? been a while) a paid parking lot up on the elevated ROW next to the station, fenced off, you may be able to walk up into and get a look around from.
Interchange with CSX is being done using the siding between CP-293 and CP-296, and the main track around into the mall is being used for storage. Willis Ave. crosses the tracks at CP-293, Bridge Street crosses at around MP 294, and Airport Road crosses at CP-296 - there's lots of places you can watch the action from public property.
The shuttles stopped running for the season last year or the year before and just never started back up. It had always been idle between like January and March each year. I never understood why they didn't run them all winter, when college is in session and it's too cold to walk long distances.
The only thing I'm not clear on is how they've been able to get away with not operating it, since the county paid for it and a lot of the help was volunteered - it didn't make money, but it wasn't supposed to be costing them any money. There have been rumors the county's not happy and might sue over it, but I've never seen anything in print about it - it could just as easily be the contract ran out or they found some way to opt out of it.
