Hi Sabera, some of the popular hill stations near Delhi are Bir-Billing, Kasol, Dharamkot and Khajjiar. If you want to go to slightly off-the-beaten-path hill stations then the options are Kausani, Naukuchiatal, Gushaini and Parwanoo. These hill stations have a wide variety of accommodation options from hostels to hotels and AirBnBs to homestays. Following hill stations have pet-friendly accommodation options mentioned in brackets - Shogi (Vatika Resorts and Oakwood Hamlet), Jangaliyagaon (Emerald Trail), Jibhi (Jibhi Cafe & Cottages), Kullu (The Himalayan Village), Gagar (White Peak Homestay), Kanatal (Club Mahindra Resort), and Vanghat in Uttarakhand. You can also refer to the attached article for more hill station options near Delhi.