Posting on the basis of my experience.
Although there are many tourism places in India but Kanyakumari is one of best because Climate remain here very good except raining time and even after being so much famous, its just a small city. You do not need to hire a cab etc. for looking beeches. Few good spots identified by me in Kanyakumari.
1. Sea Pear- Constructed after Tsunami, BEST spot for seeing sunrise. Even when crowd remain on the time of sunrise but still it has capacity to manage many peoples so you...
more... can easily enjoy photography. Its location-just come out from railway station, and reach at Fairy service terminal, from there its just 200 metres in north direction but on that pear, you may have to walk around 500 metres.
2. Bhagwati Aman Tample- Most Southern point of India Mainland here you can look three oceans. But this place become so much crowded in morning time. But its a good place if you like to play with water. Most preferred location for seeing sunrise but i will not suggest this because rocks of Vivekanand Memorial came in front and place become too much crowded so you may get disturbance in clicking pics.
3. View Tower- Ticket charge 10/= but simply you will feel that amount is too much less when you ones come here. Very nice place for exploring beauty of Indian Ocean. and most of the southern beeches can be seen from here.
4. Tamil Annai Park- Just before the View Tower, here you can enjoy a loud sound of Indian Ocean, if you want then you can come down by stairs and you can sit on stones which are in Sea. Simply amazing place.
5. Vivekanand Memorial- Go here only after 12PM because there will be very long queue for peoples on boarding ferry service, Ship charge is 34INR for both direction and Vivekanand Memorial Charge is 20INR. But this place is too much crowded however sight seeing from here also can not be ignored.
Pics of these parts to be uploaded soon.