REVISED based on your notes to me.
Okay, I have time again. Understand that so much of the beauty of the city is in the places inbetween. So riding the trams is perfect.
Arrival Day (Wednesday) Flight Arrives: 4:30 , taxi to hotel, Casati Budapest Hotel Superior in Pest near the Opera house. (not part
of Viking) settle in. Walk to ruin bar near restaurant, have a drink,
dinner, walk, see the city lights. Table booked at the Getto Gulyas. 7
pm
Yes you will walk up Kazinczy utca where a few of the more famous ruin pubs are. It being early they will be pretty much okay.
Coming back look at walking back through the Gozsdu Udvar (Udvar = Courtyard) just pubs and food and stuff, but lively at least.
But if you have the energy, continue past the hotel to Andrassy ut. That is indeed pretty all lit up at night. Better yet go to the river front for the lights (M1 metro to Vorosmarty ter and a short walk).
Day 1: (Thursday) Full Day on our own: Parliament tour 10:00 (allow 1 hour) 10:00-11:15 can switch times and days walking tour on
own see RS Lunch? Afternoon Szechenyi Baths: I'd like to include a 45
min. massage, allow about 2 hours for total experience.
*House of Terror afterwards?? or save it for day 3 Dinner table booked: Hungarikum Bisztro ( can be cancelled) 9:00 Danube River
Sightseeing night cruiseL: Can be cancelled
This is about walking the route.
From the hotel, breakfast at Lion’s Locker, then up Andrassy ut on foot. Great sightseeing. Along the way is the House of Terror, then the great apartment blocks (19th and early 20th century), then the manisons and embassies, then Hero’s Square, then the Bath House.
Before the bathhouse, from Hero’s Square it is a short walk to http://paprikavendeglo.hu/ for good Hungarian food, then to the bath house.
Take the M1 Metro to the Opera Stop and do the Opera Tour (by this is really pushing hard)
I have walked past Hungarikum Bisztro a few times, I hear its good, also its very touristy. But still good I hear.
Not sure where your boat departs from. They vary. The Legenda is using dock 8 which is about a 3 minute walk from https://www.dunacorso.hu/hu/index.php where the food is good and the view is unforgettable.
Walk home. Nice evening walk; stop at Kadarka, sit outside and have a glass of wine.