First, to see multiple dogs with GI signs, this tells us that we have an infectious issue (viral, bacterial, parasitic) or a shared exposure (ie toxin, food contaminate, etc). In regards ***** ***** family dogs, it could be related if the dogs or yourselves have been mixing with these dogs; but we can see vomiting/diarrhea with a range of conditions. So, your childrens' dogs may have something else.
With this all in mind, we do need to tread with care. We'd want to make sure there is no issue with the food and that they have no access to toxins. Further to this, we need to start supportive care for dogs with signs. If they can keep water down, we can try some home supportive care to try to settle their stomach. To start, if neither dog hasn’t just vomited (since otherwise we’d need to rest the stomach for a few hours first), you can consider treating with an OTC pet safe antacid like Pepcid (More Info/Dose @http://www.petplace.com/article/drug-library/library/over-the-counter/famotidine-pepcid), Zantac (More Info/Dose @ http://www.petplace.com/article/drug-library/library/over-the-counter/ranitidine-hcl-zantac), or Tagamet (More Info/Dose Here @ http://www.petplace.com/article/drug-library/library/over-the-counter/cimetidine-hcl-tagamet). Whichever you choose, we’d give this 20 minutes before offering food to allow absorption. Of course, do double check with your vet if any of them have a known health issues or is on any medications you haven't mentioned. Also if you give this and one cannot keep it down due to nausea that is usually a red flag that we need to bypass their mouth with injectable anti-vomiting medication.
Once more settled, you can plan to try small meals of a light/easily digestible diet. Examples you can use are cooked white rice with boiled chicken, boiled white fish, cottage cheese, or scrambled eggs (made with water and not milk). There are also OTC vet diets (ie Hill’s I/D or Royal Canin’s sensitivity) that can be used too. The aim of these diets is that they will be better tolerated/absorbed by the compromised gut. Therefore, it should get more nutrients in and result in less GI upset and diarrhea. You can even add fiber (ie canned pumpkin, all bran, etc) to the food to bulk up stools quicker. As long as improvement is being seen, I usually advise continuing this until the signs are settled, and then weaning slowly back to what you normally feed.
Finally, as long as there is no blood in those stools, you can consider trying a pet safe anti-diarrheal. As I am sure you appreciate, these would not be a cure for infectious issues; but it can still be of benefit. It will reduce diarrhea load, allow the body to absorb more water/nutrients, and soothe the upset gut. In regards ***** ***** options, the one we most commonly use is OTC Kaolin/Kaopectate (More Info/Dose @ http://www.petplace.com/article/drug-library/library/over-the-counter/kaolin-and-pectin-kapectolin-k-p)). Otherwise, Propectalin, Canikur, Fast Balance, and Protexin Pro-Fiber (which is available OTC at vets, pet stores, and even Amazon) would be another option. All will slow diarrhea and those last ones have the added bonus of providing support to the delicate good GI bacteria. So, these can be used as a short-term means of soothing all the affected dogs' upset guts.
Overall, a wide range of agents could trigger the GI upset we are seeing but infectious agents and shared exposures top the list here. Therefore, we’d want to start supportive care to try to settle these 2 dogs stomachs. Though if either cannot keep that or water down, appears dehydrated already, or doesn’t respond to the above within 12-24 hours; then we'd want to get your vet involved. They can assess their hydration, test a stool sample, rule out fever, and start treatment with injectable anti-vomiting medication +/- antibiotics to settle these dogs and get them all back to normal.
Please take care,
If you have any other questions, please ask me – I’ll be happy to respond. **Afterwards, I would be grateful if you would rate my service by clicking on the "Rate my Expert' button at the top of the page as this is the only way I am credited for helping you. Thank you for your feedback!: )