You can visit sultanpur bird Sanctuary park. Here hotel is also available.
You can head to Mussoorie-Landour-Dhanaulti for a 2-3 days plan. You can enjoy the scenic beauty, greenery, soothing environment away from the city traffic and chaos.
Agra is a great option. But you can even consider Jaipur, but it's a little farther!
Jim Corbett national park might be a good option for you.