Jutland (Danish: Jylland) is a large peninsular stretching northwards towards Scandinavia, and is the only part of Denmark, connected to the European continent, and hence sometimes know as mainland Denmark, although the capital is on the island of Zealand. It's about 350km long, counting from the German border, although the northernmost part is actually technically an island, and it's home 2.5 million people, roughly half the country's population.
While English speakers are perhaps less prevalent than in Copenhagen, most people under 50, will still have atleast some understanding of the language. German language proficiency is far better in Southern Jutland and the West coast, than anywhere else in Denmark, and in those regions almost everyone will have basic understanding of German, due to the overwhelming number of German tourists descending on the beaches in the summer months.
Billund Airport is the main airport on the penisula, and number two in Denmark as a whole - fields many international flights, and has direct connections with almost every major North European hub. Aalborg and Århus airports also sees' substantial traffic, with a few international routes on the schedule. There are also serveral smaller regional airports dotted around Jutland with a couple of daily flights to Copenhagen.
There is two ways to get into Jutland by car.
For intercity transportation in Jutland, there is a network of express buses dubbed XBus  (map), which connects most major towns and cities on routes without or with little rail service. Prices are set according to distance, as a rule of thumb (while in no way completely accurate) expect to pay around 1 DKK per kilometre.