Excellent. Good hotel too.
Thursday the 11th. You probably have a half day so make it easy but lets show you a good taste. Go to the Opera House metro stop on the M1. Buy a 7 day pass from the vending machine and get on the metro. Then walk to the lower end of Andrassy ut, turn left at the loop road and you will see a yellow tram in the distance. Go to it and get on it and stay on it 3 stops to the Market Hall. The Hall closes at 6pm on Thursday but you want to be there by no later than 4pm. Do the market.
Now infront of the market towards the bridge you will see stairs that go down under the bridge. They lead to the 2 Tram. Get on it and ride it from left to right. Sit on the river side. Best tram ride in Europe. Get off at the second stop and eat at one of the outside restaurants. Enjoy the view across the Danube.
Then back on the tram to the Parliament. This is really just an overview of the city to get you orientated. Get off when the tram turns behind the Parliament and walk back towards the river to find the steps to the Shoes on the Danube.
Back on the tram to its end stop then a short walk, very short, to the 4/6 Tram. Ride it two stops to the Oktogon. This is Andrassy ut where your hotel is. Walk down Andrassy ut. I am guessing close to dinner time. I will send you a list of places most close to your hotel. And of course top off the night with wine at Kadarka where i currently sit.
Friday 12 A walk down Andrassy then turn right to the Basilica. See it, do it. Then walk down the long square to the river and look for the 2 tram you rode yesterday. Get on it in the opposite direction you rode it the day before. Get off at the chain bridge, Walk across the bridge and take the Funicular up to Buda. Use a guide book for Buda. Depending on your interests you can spend a few hours or half a day. Lunch? All sorts of places along the way. Depends on your speed.
Then walk down, walk across the bridge and to Vorosmarty ter. Sorry its all torn up, but find the entrance to the M1 metro marked Mexico and get on to the Opera stop. You are home. Now dinner and Kadarka (hey, they are friends).
Saturday 13. Eat breakfast at the Lions Locker. Talk to the family that runs the place. Then go to the end of Andrassy ut, look to your left for a tram. Thats the 47/49. Hop on and take it across the river and get off. You are at the Gellert Hotel and Bath House. Now look for the 19/41 Tram. Take it to Batthyány tér where (3 stops I think). Here you will find the H5 commutter train. Go down, find the ticket window and show them your travel card for a discount on a ticket to szentendre. Hop on the train and take it to the end. Follow the signs to the center of szentendre. Shop till you drop and eat a lot. Then take the 4:30 boat back to Budapest. You will be home by 5:30. The boat ride is worth the time. Sit on the upper deck for the view of the Parliamnent when you enter budapest.