Some good indoor cardio exercises you can do you can find on a lot of DVD workout programs. The Biggest Loser cardio workout program is a great choice and so is Tae Bo.
There are many indoor exercises that your grandmother can do. She can turn on a workout video and do the parts that are physically okay for her. Also, just a little walk around the house is great exercise for her.
There are many good ways to do cardio inside and it really depends on your preference. If you can purchase a treadmill, that is a great thing to have on a enclosed porch or anywhere without the worry of the terrain or weather!
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Some good exercises for it is to have do a lot of cardio exercises and endurance runs. Another type of exercise are mental exercises such as meditation.
Some good pelvic floor exercises to try are Kegel exercises and Pilates. There are Kegel exercises for men and women. These exercises can help women recover muscle tone after pregnancy. http://pilates.about.com/od/technique/a/Pelvic-Floor-Muscles.htm
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Good exercises for cycling training would be core exercises for the mid section, such as sit ups or planks. Leg strengthening exercises such as lunges and squats would be helpful too.
Jogging and weight lifting are good exercises.
Running and swimming.
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You are making a smart decision by staying indoors when their is extreme heat. If you have a treadmill you can get the same amount of exercise as you would if you were running outside. You can also do jumping jacks and push up indoors and they are a great way for you to keep in shape.
Crunches, Pullups, and Pushups are all good core exercises for beginners to learn.