Forget the bike, catch the tram straight to the Albion ground. The tram stop is outside New Street Station on Stephenson Street.
Also, you could visit Colour & Beauty massage (not been myself, but reviewed on here), this is about a 5 minute walk from the station, or again, you could jump on the tram for a stop or 2 (it’s in the opposite direction to the baggies ground). After your massage you could have a swift pint in Wetherspoons (the square peg).
External Link/Members OnlyHope this helps.