there are only 2 types of worms visible to the eye....
roundworms - long thin spaggetti type worms - most common and what the OP saw and described
Tapes - look like rice grains - often seen on the dog's rear quarters...occasionally will be thrown up...they are wider and sort of a zipper like appearance
Hooks and whips are only seen under a scope...not as common in a puppy....yes, they CAN have them - but most pups have rounds....they can have the others, but not commonly while most do have rounds
Worked in vet clinics - small animal and equine on and off most of my life, spent 4 years at Penn Vet putting ex through.....
Strongid is very very safe wormer - often it is given in double and even triple doses for heavy worm load.....unless they have some different brand that has a different concentrate - normally it is 1 cc per 10 pounds....
Pup should definitely go to vet for check up and to get started on vaccinations
Csabre Sch1, Hexe Sch2, SG Bengal, Lynx, Komet, Kira HGH & Kougar v Wolfstraum ~ Ziberia IPO1 ~ ATB Basha, Kougar & Kyra, Fenja, Sch3s, Cito, Sch2, Danger RH & Alice Sch1s ~Kelsey