If you're using simplified, then I would recommend wubi. It's fast in its own right, and helps with shape. It's the only widely used shape input method for simplified chinese. But, it has a very steep learning curve, just like cangjie, but while cangjie often take 5 keystrokes to type one hanzi, wubi maxes out at 4, and most characters take 3 or fewer keystrokes to type. Cangjie also is clearly a traditional input method, which works slower for simplified -- it can type them, but not as fast. My cangjie IME listed simplified characters below the priority traditional ones if they had the same code -- not ideal if you're typing in simplified. It's definitely FOR traditional characters. Between cangjie and wubi, I'd favor the latter strongly for simplified.
For traditional, you really only have 2 options that are widely supported: pinyin and wubi.
My recommendation would be to use the wikipedia page to read about which shapes are mapped to what in Chinese, and to keep the picture displayed on that wiki page for reference if you use wubi. Reference materials in English are virtually non-existent, let alone swedish, but you can use www.iciba.com. It's in Chinese, but if you search a character say, 爱, it comes up with a page about the hanzi 爱. Under the 五笔 section, it lists the wubi input code for that character, so you don't need to understand any of the chinese other than 五笔 "wubi" to find out the the wubi input code.
I will write a tiny bit about shape inputs, though, because I'm not convinced they're necessarily what you're looking for. In the past, I've tried Cangjie (normal and fast), Bopomofo, Dayi, Pinyin, and Wubi, and while I'm definitely not fluent in all of these, shape inputs didn't have the effect I had hoped.
Most people in China use pinyin IMEs. A handful of people say "this is the most normal, just use pinyin", but most people in China also never learned Chinese in the west, among other differences, and following crowds isn't necessarily a strong reason to use a product. There are so many different chinese input methods, but most of these are only for trad chinese. Even so, the trad ones like bopomofo, cangjie etc. tend to be slower than wubi anyway and get tiring, plus have far less support on computers.
Wubi caps character codes at 4 keystrokes for speed, but usually you can input them in 3. Most Chinese words are 2 characters long, so Wubi averages around 6 or 7 keystrokes per word. Some 2 character words do have shortcuts to make them 4 keystrokes, but not all do.
Even so, all shape input methods, including Wubi, have incredibly steep learning curves. Being able to write a character doesn't correlate strongly with being able to type it, especially at first, so expect to do a lot of internet searches to figure out how to type characters before you understand the system. And then there are exceptions to the system, just like with Chinese characters. Its a new level of learning added to Chinese just to type with shape input methods. After 6 months of usage, I wouldn't have called myself fluent. For me, it still took about as much time to use wubi as it did to write out the characters with my mouse (I assume I'd have been faster if used Chinese 100% of the time on my computer). To write in wubi, you need to visualize the characters, or just use muscle memory, and all-in-all this sometimes still takes a long time even when you know chinese well. Pinyin is somewhat mindlessly typing sounds -- a benefit and a cost -- which takes far less hesitation.
Also, while wubi helps to remember characters, it doesn't STOP you forgetting them. The problem is much larger in this sense: You now can't even type the character to look up how it's written!
Pinyin is very slow, but if you're willing to use shuangpin, you write all characters as an initial consonant + final, so all characters take 2 keystrokes to type. Those 2 character words in Chinese now take 4 strokes to write -- notably 1 lower than the average English word, and about 3 faster than wubi. It takes some time to remember which finals are which keys, but nowhere near as long as it takes to learn how to type in wubi. Also, while you don't remember characters as easily, you can now type them phonetically if you forget how to write them, the character will pop-up, and you can look at that and be reminded of how to write it. Chinese people have this problem too, and the same solution.
Most OSs come with wubi installed, but otherwise sogou (wubi.sogou.com) offers one for dl. The webpage is all chinese, but the product can be switched to English if you can read enough chinese to change language.
Still, I'd give some thought to using a shape-based input method. Definitely try it out, otherwise how will you know if it suits you. Just be aware of its limitations, and decide what works for you. Not everyone's the same, and hanzi inputs are one great illustration of that.