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It's only 15 km away. Too close to miss. The Klis Fortress (Croatian: Tvrđava Klis) is a medieval fortress. From it, you have a fantastic view of Split. Some scenes from Game of Thrones ware filmed there.
The present peninsula, initially an island, it's located between Solin and Split. Because of its beauty, it was nicknamed "Little Venice". There are several restaurants in Vranjic like tavern Mala Venecija.
It's only 20 km away. Just before entering Split are Solin and Salona. Salona was an ancient city and the capital of the Roman province of Dalmatia. It takes at least one hour to visit the main sights. There are ample explanatory panels in English and the paths are well-marked. It's about a 15-minute unshaded walk to the amphitheater at the park's farthest reaches but it's a pleasant walk past olive groves, orchards, and flowering shrubs. Just inside the entrance stone tables and benches make a perfect picnic spot. The main entrance is open Monday-Saturday 9am-7pm; Sunday 9am-2pm. Outside of opening hours, it's possible to visit the park either through the main entrance (the gate is normally left open) or from the entrance at the amphitheater. In Solin is a large meadow surrounded by river whit ducks and swans. You can feed the ducks.
The split was built around the Diocletian's Palace. The palace was built for the Roman emperor in 305 CE. You can wander the palace any time of the day or night. There are museums, restaurants, bars... Almost every evening in the center of Split on Riva there is some live performance. You have two sand beach in Split. Bačvice is the main city beach. It has very long sandy shallow water before you get to the deep part. There are bars, restaurants, pastry and ice-cream shops. The second sand beach is Firule, you find fewer tourists and more local people there. There are also bars and restaurants in the aria. I recommend restaurant/coffee shop Dvor.
Omis is a small, old fortified town surrounded by cliffs and on top of the river Cetina. The town has a pirate history. There are pirate games every August. You can go rafting or kayaking on Cetina. There is also zip line for the more adventurous experience. Near Omis is Duče where is the long sandy beach.
A protected geomorphological monument of nature in the village of Kotlenice. The total length of the cave is 360 meters and steps have been built for visitors. The temperature in the cave is always 15 Celsius. Working hours: 9:00 - 19:00
It's near the airport. Trogir is a beautiful small town packed with medieval architecture. You have to pass thru it to get to peninsula Čiovo. You can spend a day on Čiovo swimming and sunbathe. Just be aware there can be some traffic on the Togir bridge to get to Čiovo.
It's 80 km away. Lakes are located near village Imotski. They are a geomorphologic and hydrographical specialty. You can swim in Blue Lake, but you have to walk all the way down to the lake.
It's 60 km away from Dugobabe. Šibenik is a small city in the bay of the Krka river. It is a home of two UNESCO protected monuments: Cathedral of St. James and St. Nicholas Fortress. Near Šibenik is a water park Aquapark Solaris it offers a variety of water features in numerous pools, which are family focused, including water slides, sprinklers, waterfalls, and a lazy river.
Near Šibenk there is the nature park Krka with beautiful waterfalls. I recommend this as a whole day trip. Unlike Plitvice Lakes, you can swim in the lower lake. Boats to Skradinski but leave every hour in the season but from Skradinski but there are only one or two boats a day that goes further up the falls to Roski Slap or Lake Visovac. The park is partly visited on foot, as walkways take you around the lower falls, and partly visited by boat.
It's 130 km away. Smaller from Split, a great town with lots to see. Most famous are Sea Organ and Sun Salutation. Sea Organ is stone stairs that descend into the sea by a system of pipes and whistles that exudes wistful sighs when the movement of the sea pushes air through it. You can swim from the steps of the promenade while listening to the sounds.
It's 230 km away, almost 3 h drive. Dubrovnik is known for its distinctive Old Town, encircled with massive stone walls completed in the 16th century. You can walk all around the city walls. It has the oldest pharmacy in Europe. There is a lot to see in Dubrovnik. It is the most famous Croatian town and most expensive because of tourist interest in it.
If you want to go to the island. I would suggest Brač. Ferry to Brač goes often (almost every hour) and it's only a one-hour ferry ride.
Plitvice Lakes are one of the oldest and largest national parks in Croatia. It has sixteen lakes, who are interconnected by a series of waterfalls. The Park is open daily all year round.