Advice on train does it just say one city it goes though

Hi,

I am ready to book my first set of reservations for my sister and myself.

I want to book us on a train from Paris to Lucerne in August.  I did a search that said we should use Gare de Lyon in Paris.

I went to buy the reservations but they only list Basel and they don’t mention Lucerne.

Do the reservations just say the name of the first city and not the name of the second train when you change trains?

Please help. I don’t want to buy these if I’m doing it wrong and find out my reservation doesn’t work for the second train.

Should I book each leg of the trip separately?

And, is okay to book all my reservations through the Eurail website here where I bought our Euraill passes.

Here is the itinerary I am reserving.  Is the leg from Basil to Lucerne no reservation because none is needed?

12:22

Paris Gare De Lyon (France)

3h 4m

TGV 9213

TGV Duplex Lyria

Operated by

SNCF Voyages

Direction

Zuerich Hb (Switzerland)

Seat reservations required

You need to buy a seat reservation to board.

1st class seat

from

USD $43.50

2nd class seat

from

USD $32.90

Check seats and price

You can also...

• Check at B-Europe. Enter the journey details and travelers, and check if the train is still available

How and when to book15:26

Basel Sbb (Switzerland)

0h 37mChange trains

16:03

Basel Sbb (Switzerland)

1h 2m

TRN 2331 TRENO GOTTARDO

TRN

Operated by

Schweizerische S?dostbahn (SOB)

Direction

Locarno (Switzerland)

You're ready to board

Thank you,

Liz