What is the right way to do bed to wheelchair transfers?

So I'm a caregiver at an ALH and we have a resident that has very weak legs. We are expected to lift her from bed to wheelchair, wheelchair to toilet, etc. But she cannot/will not help with her legs or arms. The way they showed us to transfer her is she puts her arms around our neck, we lock hands around her middle(no gait belt) and have to lift and pivot and set her into/into wherever she is being moved. I feel like this is ALL wrong! Last week we had a coworker fall over backwards with her doing this! Resident was not hurt but coworker got pretty banged up and is traumatized! Literally in tears when the situation gets brought up! Things I have read online have said unless the resident has at least one strong leg then we are to be using a lift? I agree with this completely. The resident is about 165lbs and stocky. I have feared hurting myself moving her, or worse hurting or dropping this 82 year old woman because of the way we were told/shown to do so. My work doesn't require a cna certification, so it's all just on the job training. Can someone please tell me if i am in the right here? And if so how do I go about changing this? The management at this place is not good. And I am at my wits end with many things happening at my place of employment. Please help!