If your hotel is near Nation (fits the "15 min from Gare de Lyon" brief), you might want to have a look at bus 351 from CDG "Roissypole" (next to CDG T1 RER Station, you reach it via the CDG VAL shuttle train which is free) or from T1 itself.
Step 1: buy a carnet of 10 "t+" tickets from a vending machine (available both at Roissypole and at T1) or a booth in the RER station, for 15 euros.
Step 2: find the bus stop and wait for the bus (up to 30 min)
Step 3: get on, and validate three tickets per person. Stay on until the end.
And voilà, 60-75 min later you'll be in Nation for 4,50 euros each.
Only recommended if you are very cost sensitive, close to Nation (like, if you need to take a metro from nation, you might as well stick with the RER), and don't have too much luggage.