Glucagon Injections

I have the kit and used it for the first time. The syringe that is provided has a very big needle.
After the flucagon is mixed with the fluid from the syringe would it be OK to draw the mixture out with a syringe I use to insulin injections? It is much smaller and probably would be more comfortable.
Also, how may units are there after the mixture. In other words what size insulin syringe would I need.
Thank you,
Carol