Earl wrote:
I think it would depend on the time of day and how much traffic you had to
contend with.

So far, so good.

If the traffic is heavy, I would simply turn left onto the sidewalk ...
I would have likely already be on the sidewalk on that side of the street
before the first left turn and probably cut through the alleys or parking
lots if possible and not even bother getting onto the roads or sidewalks in
that section.

Presumably OP is inquiring about vehicular cycling practices and
techniques, and if s/he wanted to avoid any contact with motorized
traffic, already knows how to ride like a kid.

If it is early, little traffic, then after the first left turn, stay in the
left lane and make the second turn just as though you were in a car.

That would be my advice (typed the Effective Cycling instructor
certified in 1980).

Going all over the road like that makes you unpredicable and at higher risk
of getting hit.

Uh, no, not if done correctly and the trajectory excludes sidewalks and
cut-throughs (why not pop a wheelie while you're at it?).

Taking the lane and staying in it would be the proper course
in my opinion.
You are only going a block or two there. Changing lanes like that means you
have to look for traffic, change lanes when it is safe, several times making
it more dangerous.

Much depends on the circs. Doing this every day as part of a commute?
Your fellow road users are likely to recognize you and your route by
the end of the first week. What are the traffic patterns like on the
pertinent streets? (Your diagram must be really nice, 'cuz there's too
much traffic there to let me see it!)

HTH

--Karen D.