I handed in my notice at work before I started job hunting, as I was unhappy there and had a long notice period (2 months). I had a call with a company around a week into my notice period, so told them my notice period was 2 months.
I've accepted a job offer and am negotiating a start date, they have said does July work. I only have 2 weeks of my notice period left so I could start there a lot sooner.
Do I just accept the July start date and not mention it, or say that I can be available anytime from 15 May?