If you use a traditional exterminator, ask about the chemicals they employ. "Precor" is in the IGR class and is considered fairly non-toxic. Pyrethrins and pyrethroids, though somewhat toxic, are common and considered safe when properly applied. Organophosphates are also safe as long as you don't have exposure to them while they are still wet.
Safe and effective application depends a great deal on the professional doing the job. Be sure the person or company is experienced and has a good track record. You can find ratings and reviews on Yelp for local companies.
3. Attack Fleas in the Yard, Garden, and Car
There are many choices for do-it-yourselfers to apply to the yard and garden. A class of substances called "wettable powders" can be used effectively. Suspend Sc Insecticide is an example of a 75% Deltamethrin spray-pesticide that works well.
One problem with these pesticides, however, is that they don't discriminate among insects, and will be as lethal to ladybugs as they are to fleas. In addition, this is a strong insecticide that will leave residue.
There are some non-toxic alternatives to use in your yard that are very safe for dogs. Diatomaceous Earth is a drying agent that creates an inhospitable environment for fleas.
It is actually food grade, which means that while it is helping to kill fleas (and even some types so parasitic worms) it is technically safe for human or animal consumption - this means that after applying this, you don't have to worry about your Pug being outside.
You can spray or "bomb" your car yourself; however, if you don't ventilate the car adequately afterwards, exposure to the poisons in these preparations can be dangerous.
Try vacuuming thoroughly first ,using a good flea powder. Then use diatomaceous earth on the carpets and upholstery inside the car. Leave it on overnight, and vacuum again before using the car.
Consider a professional to do your yard, garden, and car at the same time as the interior of your home is being treated.