I'm seeking recommendations for places to stay from August 13 or 14 - August
16, 2005 in Paris, France for me, with my nearly 5 year old boy/girl
twins, and a friend. I will consider hotels, apartments, and bed &
breakfasts. It would be a plus if the place were relatively convenient
to Charles de Gaulle International Airport.

You might want to try the Hilton Paris Charles de Gaulle Airport, have
not heard anything bad about it.
Link below is for dates 13/08-16/08, 2 children + 2 adults :
http://www.res99.com/nexres/reservations/availability.cgi?&src=10006561&src_aid=&path=ps&nights=3&doa_yy=2005&doa_mm=08&doa_dd=13&dod_yy=2005&dod_mm=08&dod_dd=16&currency_id=USD&num_adults=2&num_children=2&num_rooms=1&num_beds=2&bed_type=NP&smoking_pref=NP&hronly=&hotels_id=10203388

A list of hotels near Charles de Gaulle Airport with the same dates :
http://www.res99.com/nexres/search/power_results.cgi?&src=10006561&clear_cache=&city=Roissy&state=&country=FR&zip=&avail=Y&doa_mm=08&doa_dd=13&dod_mm=08&dod_dd=16&num_adults=2&num_children=2&num_rooms=1&bed_type=NP&num_beds=2&smoking_pref=NP&currency_id=USD&name=&brand=&priceband=

Hope this will help.