When riding to the SECC area from GLQ, I used to hammer along St Vincent Street and go left at Minerva St, and take the elevated fibreglass box bridge over the Clydeside Expressway.
Now I generally bimble down Buchanan St to the Clyde, and ride along the Broomielaw and Anderston/Lancefield Quay, but sometimes I use the Clyde walkway even though it's a bit fiddly in places.
As an interesting diversion on your way back, gembo, why not take a left at the Kingston Bridge and follow the cycle path to the Bridge to Nowhere Somewhere, over the Expressway and then over the M8, as then you can go straight along Waterloo St to GLC. It's almost certainly slower than going left at Brown St and then along Argyle St to Hope St for GLC.