By the time you see evidence of a tapeworm (i.e. the segments) then the cat is seriously infected. You should worm regularly (every three months if the cat is known to hunt) with a dual wormer that does roundworm and tapeworm i.e. Drontal. There are other worms but they are very rarely encountered in this country.
Flea treatment is also important as this is what leads to tapeworm infection, when the cat ingests the fleas when grooming itself.
Whilst roundworm is not as serious and will not affect the baby, a serious infection can debilitate your cat as they take all the goodness out of their food. With the high cost of cat food, who wants to be feeding worms anyway?
You can order Drontal online from any of the veterinary online pharmacies such as petdispensary, vetmedic pharmacy or hyperdrug, and they will be cheaper than at the vets and no consultation fee either.