There are a number of websites that show stroke order of a (psuedo-)handwritten kanji with brush strokes. See this one and this one. I recommend watching the animation - it's fun!
The android app oBenkyo lets you practise handwriting kanji and gives you a handwritten model to copy while showing a printed version as well.
A google search of kanji photos will give you unsorted list of handwritten forms. They can be enjoyable to browse sometimes.
If you have a Japanese IME installed, you can download handwritten fonts, which will allow you to experiment with reading different handwritten styles.
Unfortunately, it's very difficult to expose yourself to every type of handwritten form without spending an inordinate amount of time - I certainly don't recommend it! To tell the truth, though I have little trouble reading printed kanji or kana, sometimes people's handwritten kanji can be a nightmare to read - though, to be fair, I have a similar problem in English - try reading my mother's (English) handwriting!
As you become more familiar with kanji, in written or printed form, you will recognise the shapes more quickly and naturally, and as a result, handwritten kanji be will much, much easier to read. You won't have to spend so much energy trying to remember the kanji filed somewhere in your memory, which will free you up and make recognition of variations sharper. Whatever way you do it, it takes practice. I have been through the same situation, so I know exactly what you're going through.
So, the simple answer is, stick with your practice, and by all means, expose yourself to the stroke order diagrams for comparison. Of course, if you can have fun or make it meaningful, that will be good for your motivation and for laying down a solid memory.