Hope you dont mind, I will respond here. Maybe someone else can use it.
Kiraly utca 57: King Street #57.Oh yes, I know the area very well. I stay in a place about 200 feet up a side street at Kiraly u. 45. Down street is towards the river, up street the opposite direction. I will throw out a lot of names, they all have webpages, so look them up.
Down Street
So, down street in the next building is Frici Papa just about a real and local a Hungarian restaurant as you can find in town. Very simple but traditional and good. They will serve you, but you have to pay the cashier on the way out. Nice folks. Full of locals.
A bit further down street you will find Rossmann. In Hungary the grocery stores only sell groceries for everything else you have to go to Rossmann or DM.
The next building down houses the OTP Bank. That’s a good ATM location. If the door is locked, swipe any credit or ATM card to open it.
Across from that is St. Teresa of Avila Parish Church and apparently they have an elementary school there too as I always see children out playing in the yard.
A bit further down on the same side as the church is Palotai Pékség és Pizzéria perfect for morning pastries.
Next to it is Kadarka Wine Bar. You can not do better in Budapest for a place to waste the evening away with good (cheap) Hungarian wine and pretty amazing food; and Amazing staff. They have been very good friends over the years.
Across from Kadarka is Spar Grocery. You may need that.
At this point you are at Vasvari Pal utca (where I stay). If you turn right down Vasvari Pal u. you will find The Lion’s Locker. Great family owned breakfast place (and luggage storage oddly enough). Mom, Dad, Sis and Bro work the counter and love tourists. They will talk your ear off.
You will also pass an interesting old Synagogue / Religious School on Vasvari Pal u. (Vasvári Pál Street Synagogue Shas Chevra Lubavitch Shul) More often than not you will see the members walking to and fro … hard to miss them since they are orthodox.
Oh! In case you need it there is a laundry/dry cleaning service across the street from the synagogue. They don’t speak a word of English but there are prices in English on a board on the wall … just point and smile. Look closely its a small unassuming door with steps down into the half basement in the newest building near the corner of Kiraly utca.
If you were to continue on down Vasvari Pal u., around the building being renovated you would find yourself on Andrassy ut facing the Opera House.
Forget Vasvari Pal and continue down Kiraly. Next on your right at Kiraly 26 is a doorway that leads to an amazing courtyard restaurant open for breakfast and dinner. Called TwentySix
Further down, on the opposite side is the entry to the Gozsdu Courtyard. Then beyond that on Kiraly u. is the loop road and the end stop of the 47 Tram. (to Great Synagogue, Great Market Hall, 2 Tram Stop, Gellert Hotel and Bath House in Buda. Continue across the loop road and you hit Vaci utca and eventually the river.