22 living with bully parents

you're 22 and have a full time job - why can't you get your own place?

I've recently come back from 4 years at uni and have started a full time job. However, when I come home my parents are always calling me fat, asking how much sugar/fat is in whatever I drink or eat. It's got to the point where I no longer eat at home. My dad is obssessed that the world is going to end and my mum is obsessed with me looking pretty but not because of guys - because she wants to boast to her sisters about me. My mum also goes through all my stuff - she had my bedroom "attire" folded on the kitchen chair for everyone to see!!! My upbringing has been terrible and full of abuse, social services and police. Does anyone know if there's any organisations that help with moving out from these situations? Like, I have the day off from work and all I can hear is my parents *****ing about me downstairs. I can't even get a drink without running up the stairs crying anymore. I just need pointers because it's becoming too much for me to handle by myself.

Literally just started the job and still £2k in overdraft so haven't got much money to move out. It also costs a fortune to move out with agency fees, deposits, first month rent, etc. like £1-2k