Heating is a very bad idea. At the very least (if temperature is low) it does not do any good; at most, you can blow a cylinder with a compressed gas - which will be a major disaster. Most likely your safety officer will not be happy with overall idea.
Also, if you do not have a specialized "Y" shaped transfer line with proper valves, gauges, reducers and vacuum outlet, you will contaminate the gas and loose 10-20% of it on purging.
Instead you might consider to put a long 1/8 inch line from the large cylinder to the point of use (where you were planning to use a small cylinder). 1/8's are soft, cheap and easy to use.