Normal temperature range for a dog is 100 to 102 degrees Fahrenheit. Your dog's temperature will be higher just after exercise, on a hot day, while snuggled under a blanket, etc. The best way to deal with worms, of course, is to make use of worm prevention techniques. Either have a sample tested annually, or have preventative worming performed at least once a year. In dogs, the common heartworm preventatives also help prevent the more common intestinal worms.
Most worms have a lifecycle that makes it easy to for pets to become re-infested.
Your cat can't tell you how it's feeling so you must familiarize yourself with its normal behavior. A healthy cat maintains normal body weight, level of activity, and social behavior. A significant change in any of these is a warning sign. Getting regular, accurate weights can detect problems early. When you hear that you should never give human medicines to cats, it means that you should not give them without first consulting your vet.