If you have a small bagage you use the train to Les halles, then change for the metro line 1 direction la defénse and leave at Champs eliseés Clemenseau where you take the line 13 to saint Denis or gabriel pery and leave at La Fourche. You art 10 min from the hotel. Go to the hotel site where they explain the way you need to do. This trip is quite tiring and takes at least 1:30h, maybe more than 2 in the rush hours.
If you take a taxi you will expend about 100-120 euros
If you have a lot of luggage, taking the metro means climbing up and down some steps, and getting into a train in the rush hour can be a challenge - in this case, taxi or equivalent is the best choice, at a cost. Otherwise, I suggest the following itinerary that has only one change: take the direct bus from Orly to Montparnasse and then take the metro line 13 at Gaité and exit at La Fourche. When you exit the La Fourche station, follow the street to your left (that's av de Clichy) and walk a few blocks (easy, downhill walk) until you reach rue de Legendre, make a left and walk one more block to the hotel. As an alternative, install the RATP app in your mobile and trust the app to provide a good trip.
Use the Metro, there’s a stop very close to the Hotel
Get an answer from Art Hotel Batignolles staff and past guests.