Nanital, lonavala, mahabaleshwar, ooty any hill station can be pleasing and beautiful, howevrer if you want to escape the cold, you can consider any beaches or cityscapes
If you are visiting during the first two weeks of February, you should explore Coorg. Beautiful place near Bangalore. There is a Tibetan town there, which is the second largest Tibetan settlement after Dharamshala. You can read out more here - https://bulbulonthewing.com/coorg-when-you-are-in-the-coffee-capital-of-india/
I hope it helps.