Madrid has an extensive public transportation system, including buses, trains, and Metro. To save time and money, consider buying a multi-day Metro Card, which costs around 10 Euros. Taxis are also readily available, but keep in mind that they can be a more expensive option.
If you have more time, consider visiting other historic landmarks such as the Museo del Prado, Templo de Debod, and the Gran Vía. If you have less time, you can skip the day trip to Toledo and instead spend more time exploring the city's museums and parks. Remember to wear comfortable shoes and dress in layers, as the weather can be unpredictable.