Our chickens aren't even close to laying yet, but we had a similar first experience with goats' milk..
My wife dutifully milked the goat twice a day for about 10 weeks and we fed it to the baby goats.. As weaning time approached, we spent a decent penny on a stainless bucket, strainers, and other milking accessories, and were super excited to try raw, fresh, goats' milk for the first time.
When that moment finally came however, we looked at each other like...You first...No, you first...No, really, after you...No, that's ok, you can be the first to try it...No, no, I insist, you first!
Well, I was the first to try it and I was scared stiff. It was totally different than anything I'd had before...richer, thicker, sweeter. But it was sooooo good -- and i'm not really a 'milk drinker,' per se!
I swear, though...for the next several hours I was on pins and needles, just waiting to cramp up with listeriosis or some godawful GI disease.
No ill effects came, of course..
Over the course of the next several months, we drank it straight, used it to cook, made ice-cream, froze A TON for soap -- and still had more than we knew what to do with.. Eventually, both the goat and the milkmaid decided they were getting a little tired of the twice-daily routine, and it seemed to futile to go through all the effort to get milk only to watch it sit in the fridge and not get used, so she dried the goat off and we went back to storebought..
YUCK-O-LA.
That stuff's like WATER! We missed the fresh, sweet goats' milk almost immediately, and my wife's already said she's going to try her best to really stick with milking next time..