Hmmm. . . I don't know about that. Honestly, the "dinner in at home" date is usually saved for the date when I plan to get it on with the girl. It's basically the date suggestion that says, "we're going to get naked." lol!
I think if you are comfortable going to his place and him cooking for you, it's alright. I personally wouldn't on a first date though (just in case you know) but after the first date and so, why not. I think his just trying to impress you so you know his not clumsy around the kitchen hehe
Sure, I have done it and have also had a first date cook for me. These were not cases of first time meeting the person, having known them from somewhere, but a first date together. I am a great cook and take pleasure when someone enjoys what I have done for them.
So many women complain about men not putting in the effort. Your guy is putting in the effort.
First date might be a bit much. Although it's a very sweet gesture, he should recognize you may be nervous already and being stuck at his house may only add to that. Better for a third date or later when you are already comfortable with each other.