To get around the city, the best way is to use Budapest's comprehensive public transport system, which includes buses, trams, and trains. A single ticket costs 350 HUF (about 1.10 EUR), while a 24-hour pass is 1650 HUF (about 5.20 EUR). For day trips to the countryside, you can either rent a car or take a train or bus.
If you have more time, consider visiting Budapest Zoo and Botanical Garden, a popular attraction with a wide variety of animals and plants. Additionally, visit the Shoes on the Danube Bank, an emotional memorial which symbolizes the lives lost during World War II. If you have less time, consider skipping the thermal baths and day trips to spend more time exploring the city itself.