If you ask me to choose between Ooty and Conoor then I would say please give preference to Conoor than Ooty ,the whole place is like heaven although you won't find place to eat or buy there so better carry your essentials beforehand.
Places to visit in Ooty and conoor
Nilgiri Mountain Railway(You must go there ,It's awesome .To be truthful I did not get chance to go there but I tell you what you should go there.Please go through the link of Ooty tourism about the booking and timings . Ooty Toy Train (Ticket Cost, Booking, Timings & Route).
3. Avalanche Lake.
4. Botanical Gardens(No need to go there if you are not family ,It's just like bunch of people sitting along in a big park).
5. Doddabetta Peak(It's the highest peak of South India and yes ,they serve Ice cream there ).
6. Mudumalai National Park.
7. Lady Canning's Seat.
8. M & N Chocolate Museum.
9. Dolphin's Nose.
10. Lamb's Rock.
I hope it’s useful for you ,I have a lot of pictures but I can not upload all of them .To know better please visit my Instagram profile : planetplatinum78 .You will find whatever is necessary.