HI. You could also go to posadas cross border (straight forward and not crowded ) train goes every 30 min and take's 10 minutes to Encarnacion. It's the only stp so you can't go wrong. Then there are loads of reasonable hotels in Encarnacion and a much nicer city to spend time in. You could also do a day trip to Trinidad. Can highly recommend Paul at faunaparaguay. Then 6 hours or so ono a direct bus to Asuncion.
Thanks will look at it
We just arrived at the Asuncion bus terminal from Foz.
Ubered to cross the Bridge to Ciudad del Este. Did customs at Brasil and Paraguay. You can take a taxi to bus terminal to Ciudad del Este. Bus ride from Ciudad del Este to Asusncion $12-15 for a 6 hr bus ride. There are plenty of companies which leave almost every hour. They take Paraguayan or US dollars.
When we arrived in Asuncion we decided to stay near City Center near Plaça Uruguay. You can take a taxi for 50k guarani or bus route 38 from terminal to city center for 2k guarani. Looks very touristy with lots of restaurants and historical sites in city center. Plus we see lots of security which is nice.