Any reputable full synthetic two stroke oil . NB two strokes use a special two stroke oil, you can't usually get it at the petrol station, go to Supercheap. Go for full synthetic (look for the words on the label). Fuchs Silkolene is good, but so are the others. Motul is also well thought of and TTS.
I'm not clear either on your "strolling". As you approach lights, brake, and change down through the box as the revs drop, fully engaing the clutch on each change. Once in first continue to slow, when nearly stopped pull in the clutch and put your foot down.
Coasting with the clutch pulled in is a bad practice because it makes it harder to manoeuvre if an emergency arises.
Always be in the appropriate gear, ready to accelerate if necessary. Braking on a motorcycle is not the best reation if danger presents, motorcycles are inherently unstable under braking. It is better to use what motorcycles are good at, manoeuvring, to get clear of danger. "Go where the danger is not"
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