Great! Barcelona has a wide variety of museums that you can explore. For starters, I would recommend the Picasso Museum, which is located in the Gothic Quarter. It's a great place to get a feel of the city's local culture and arts. Additionally, I can suggest the National Art Museum of Catalonia located at the Palau Nacional. This museum has a vast collection of artworks from the Romanesque period to the early 20th century.
If you're looking for other options near Barcelona, the Dali Museum in Figueres is an excellent choice. It's only a 2-hour drive from Barcelona, so you can easily get there by car or train.
For accommodation, I would suggest staying at the Barcelo Raval Hotel. It's located close to many of Barcelona's major attractions and has great amenities and services.
Finally, for transportation, I recommend renting a car. That way, you can easily get around Barcelona and explore its surrounding areas. Alternatively, you can also take public transportation, such as the metro or bus.