I agree with lori's suggestion about feed. If the previous owner can give you a few day's worth of grain that would be optimal. If you switch over to whatever kind of grain you can get they may get scours. It's not a big deal, but gradually switching them over to a feed you can get is much eaiser on their system.
Also, keep in mind they may scour regardless of if you keep their feed exactly the same or not. Transporting and a new home cause a lot of stress for goats so give them a few days to get used to you and their new surroundings. If they do get scours and they don't clear up within 2 or 3 days it might be useful to get a scour treatment in them. Some goats do fine and don't get the runs at all and others get so stressed they loose weight (my very first doe did this - scared the crap out of me!)
I use 16% Dumor goat grain that I get from Tractor Supply. I mix 1 50# bag of that with approximately 25# alfalfa hay (about 1/2 a 50# bag) and about 12# of calf manna (about 1/4 of a 50# bag). The alfalfa is great for lactating does if the hay you give them does not have a lot of alfalfa and the calf manna will help their condition.
Jav is right - hay should be left out free choice unless you want to attempt reducing the hay waste, which IMO is a waste of time. You'll have to watch them and give them more hay each time the feeder is empty if you want to try reducing waste, but they'll still end up wasting some anyway.
Some use pine shavings as bedding, but others say you should not use pine shavings if there are goat kids in the area. The kids might chew a peice of shaving and get it stuck in their throat or rumen and cause some serious issues.
I actually just use the hay they pull down as their bedding. By the time I've gotten to the hay they've dropped on the ground they've soiled on it, so it's just easier to pick it up and spread it around than to get it cleaned off and put back into the feeder.
I built their hay feeder from
this site. This feeder is awesome and I ended up cutting it in half lengthwise and screwing it to the wall of their barn.
You might want to get CD&T vaccinations and a dewormer to have on hand. Do you know their vaccination history or if they ever required a dewormer?