How long after owning a puppy with distemper should we wait?

The next puppy needs to be completely vaccinated before you bring it on the premises. Make sure that this is done. Please don't go back to the same place to get a puppy. Make sure that you get some type of actual proof of vaccinations. Do not take their word for it. Distemper can last quite a long time in the environment in the right conditions. It can also be airborne and passed on clothing. Distemper was the scrounge that killed many dogs before the advent of vaccines. It would wipe out whole kennels of dogs. It is a very nasty disease as sadly you have found out.