Your bike probably has mk2 Amal Concentric carbs [ squarish shape] and therefore no ticklers .
I'm not all that familiar with Bonnies but there should be either levers on the carbs or a handlebar lever to engage the choke .
Engage choke and then no more than a quarter throttle [or none at all ] and then try to start bike .
I assume ,of course, that you have checked for a spark at the plugs and the tank contains fresh fuel.
Blessed are the cracked, for they let in the light. - Spike Milligan
"When you come to a fork in the road ,take it ! When you come to a spoon in the road ,take that also ."