Hey, It will be cold there and temperature may be between 5-15 degree Celsius. Pack winter clothes like jackets, woollen socks, woollen sweater, woollen cap, thermals, moisturizer and gloves. Happy travelling!!!!!
In January there will be a normal rush, it will take nearly 3 hours to get enter the Bhawan and about climate, it will be very chilled and you need at least as warm clothes, otherwise, you can check the weather condition at google before 2-3 days. and there are lots of hotels from cheap to luxury so after reach there you0 can select the hotel according to your budget. Good Luck!!!
No doubt it will have chill weather at the beginning of new year, If you really want to travel this time make sure your hotels are booked on time because last moment decision might lead you in trouble. Happy travelling!!