My son had Lyme disease twice and I had it once. My brother had Lyme disease and my brother-in-law had Lyme disease. My sister-in-law had Lyme disease 3 times. I wrote a paper on Lyme disease in college. (We live near Lyme, CT where the disease was discovered, also my husband is from an area in which Lyme disease is very very prevalent and we spend a lot of time there, in fact the town offers free Lyme testing every few months because it is so common.
Please do not rely on the symptom of developing a bull's eye rash. Everyone does not get the rash. My sister-in-law is the only one in my family that developed the rash with her Lyme disease and that was only in one of her cases.
The bacteria has to be in your blood system atleast a week or two before a test willl come back positive. It is not uncommon to get a false negative test result.
Symptoms to look for are fatique, general malaise and achy arthritis like pain in the joints. The Mayo Clinic and Center for Disease Control website have most reliable information.
Many doctors are not as knowledgeable about Lyme disease as you would like to think they are. If you think that you or one of your family members contracted Lyme, you must be knowledgeable about the disease and be persistent with the doctor (a fact of life these days).
The tick that carries Lyme disease is very small and often never found on the body. You can learn more on the Centers for Disease Control website.
I would put your tick infested belongings in a dark garbage bag and leave everything in the bag for about a week to try and suffocate the remaining ticks. Vacuum the house thoroughly including all the beds and furniture (I am sure you have already done this)
Dog ticks, the larger ticks can also carry bacteria and disease, Just beware and be on the look out for symptoms of illness. You can learn about other tick born illness on the Center for Disease Control Website.
Good Luck, I am sure everyone is fine, just be on the look out for any signs of illness, caught in the early stages, treatment with abx is very successful. It is when Lyme is not treated it becomes a problem.