In many ways, Iceland is a very easy country to explore on your own — its main roads are in great shape, the country is technologically advanced, and most things and experiences can be booked online.
It's important to keep in mind that despite its small population, Iceland is not a very small country — its territory is larger than that of
Portugal and
Austria. It also has one of the lowest population densities in the world, and that density drops considerably once you leave the Reykjavik Area. If you only wish to stick to Reykjavik and southwestern Iceland, this is not something that you should worry about — this part of the country, where most of its tourist attractions are located, is easy to explore on your own as everything is relatively close and destinations are well-connected to each other. Exploring the rest of Iceland is also perfectly doable and can be a wonderful experience — but if you're a more adventurous traveler, there are a number of things to keep in mind!
The size of the country means that driving can take a lot of time. It takes about five hours to get from Reykjavik to the Westfjords peninsula, five hours to
Akureyri, six hours to Husavik, and eight hours to
Egilsstadir. The low population density means that there are not that many gas stations outside the capital area and very few that are not on the national main road. It's important to find their locations in advance in relation to the route you plan to take in order not to get stranded. Also, keep in mind that there are some gas stations with no employees in Iceland — you pay with a credit card and fill up the car yourself!
Route 1 (the Ring Road) is the main road in Iceland and makes a circle around most of the island. While it is fully paved, many rural and mountain roads are not. Many of these turn to mud during the warmer months of the year and can get potentially dangerous. Having a 4x4 car is generally a very good idea for traveling in Iceland's interior. Even if you have a 4x4, plan out your route in advance — many areas, especially near glaciers, can be dangerous to drive in.
Because of the low population in many parts of the country, getting lost on secondary roads is also a very real possibility. Make sure to get an up-to-date GPS for your rental car!
Although Iceland is not as cold as some people expect — temperatures in the coastal areas especially are moderated by the Gulf Stream — Icelandic winters are nonetheless something to take seriously. Many secondary roads, and even parts of Route 1, may be closed due to cold or bad weather in wintertime. Make sure you take the necessary precautions and plan your trip carefully not to get stranded.