it might be better for you to get another, full time job and then resign from this part time one. it's unlikely you will get benefits if you just resign (at least i hope you dont) surely people who just decide not to work even though they can don't get everything paid for? plus, it's not good for your mental health or physical health to just give up work and go on benefits as you will be branded a benefit scrounger, which is fair, if you are able to work you should.
If your daughter is not a student anymore, you will also have to pay full council tax if she is living in the house. she should get a job to help with household expenses