Hey Deeksha,
You can visit Kashmir In winters but weather will be very cold and harsh there. On the other side it will be more beautiful,peaceful,less crowded and budget trip. Pack your winter clothes like jackets,inner warmers,woolen socks,gloves,woolen cap,moisturizer,first aid kit etc.
Main thing in Kashmir is road trips (Srinagar->Pahalgam and Srinagar -> Gulmarg). And stay at houseboat in Dal lake for at least one night. Nearest airport to Srinagar is Srinagar International Airport (15KM far from city).
Hope this would help you.