That means checked in and ready to go out about 3pm. I know its a short trip and you will probably not need it, but download the CityTaxi App. If the ocassions does rise, then you have it.
Any way, your hotel is a few minutes walk from the 4749 Tram but you are between stops so just walk down to the market hall. This late, probably best to save for another day But board the tram to cross the river. On the opposite side is the Gellert Hotel. Great history, great bath, under renovation though. The tram stop is a bit confusing at the Gellert, but get off and look for the 19 or 41 going up river.
This late I think this will be a sightseeing tour more than anything else. Sit on the river side and enjoy the view. Get off maybe at Batthyány tér for a photo shoot and selfies with the Parliament, then another stop up to Margit híd, budai hídfő stop (mouthfull) where you will find the 4/6 tram across the street (dont worry, big modern tram crossing bridge, cant miss it). On the other side of the bridge the first stop you get off and look back towards the river a few feet and up the first side street and you will see a florist shack and the 2 tram. After you cross under the Chain Bridge there is a stop.
Then go one more stop and get off and you will be at https://www.dunacorso.hu/hu/index.php this is the best view with a drink in Budapest. If you can guess your time, you might make a reservation, but generally you can get a seat.
If you dont get off for pictures and to look around the trip is about 45 minutes.
If you go straight to Duna Corso (maybe walk up Vaci utca to get there) and you relax and unwind after the trip; then take the tram ride after sunset it is particulraly beautiful.
And do remember that is you mess up, get on the wrong tram. or go the wrong way that nothing bad happens. You just get off and make a correction,. Every inch of where you will be is safe and interesting.