Tacoma Avenue was already tagged with a bike lane. See https://wiki.openstreetmap.org/wiki/Bicycle for help with mapping bike lanes. 

From the imagery, I'd map the bike lanes as attributes of the street. If they are separated then I'd add them as separate ways. 

Where I live there aren't many bike lanes so I don't do much bike mapping. A better place to ask is on Slack. We have a number of active cyclists there.