When we started weaning, we used goats milk, warmed, holding each individual puppy on our knee and helping them to lap. At the same time we'd give a small ball of raw lean beef mined, about the same amount as would cover a thumb-nail. ONCE A DAY. Of course they gobbled it up eagerly and the temptation was to give more but we resisted. Too much at this young age, is more than their digestive systems can cope with. It was only once they were older - at least into the 4th week, that having gone to using puppy food mixed with either goats milk, or just water, into a porridge that we started to use the purpose built puppy dish (we used to call it the 'space ship', for obvious reasons), making sure the bigger ones (if any) didn't push the smaller ones out. And we didn't up the amount of mince too fast, adding it to one meal a day only.
I'd keep a watch on that pushy boy - he'll be fine, hopefully, but don't let him scarf the lot!! I did have one blow at 8 weeks and immediately set off for our vet - happily by the time we arrived there, he'd started to go back down. But in those breeds prone to this, it can happen.
I'm assuming the puppies have been wormed at least once so far? (Big tummy after feeding).