We went from Waverley - conveniently had been at a family meal in Scotsman Hotel beforehand, so it was just down the Scotsman Steps, hurrying past the riff-raff up to no good down there.
Train to Queen Street, walk up the hill to Buchanan Bus Station, then waited in a queue for quite a while. The SPT stewards were cheerful and kept saying "there'll be another along shortly". In the event, it wasn't that shortly, but we got in the doors to the velodrome and up the steps with 5 minutes to spare before start time.
Didn't want to get the Merrydown Express 1130 last train home so left the Velodrome in plenty of time to get the 1030. We forewent the women's Omnium elimination race, as it was over-running anyway due to a restart after a crash. Unfortunately the shuttle buses weren't leaving until they were 100% full. So we had to sit on a 1/4-full bus of other people who had nipped out a bit early until the rush from the velodrome began. We were at least the first bus to leave, but it was a bit annoying to have given up 20 minutes of the event to then just sit on a bus for 20 minutes and end up missing the train we wanted to get.
Got the 1100 train and back home around midnightish.
If you don't have a car you don't mentally compare your journey to how much faster or more convenient it could have been though, rather you do to how inadequate public transport can be in this country. If they hadn't run the shuttle buses, the new facilities seem pretty cut off from the Public Transport network. I didn't fancy a hike to/from Bellgrove to use the Airdrie / Bathgate route, and I don't think the late night bus service in that part of Glasgow is up to the demands of servicing a large sports facility.