Hey there lucaluca,
First off; I think your English gets you by pretty good since I had no problems understanding your question.
Androgyne is a gender identity, but you could say there's different categories. In other words: there's a lot of different androgynes and it's their feelings that seperates them from each other (but they still have the same identity).
There are androgynes who feel they fall in the middle of the gender spectrum; they're not male, they're not female, but rather ; their a mixture of both. On the other side there's androgynes who feel they're both male and female (percentage wise: 100% and 100% so not 40% female and/or 60% male - nope the full monty). And of course there's those who feel they fall completely outside the binary (female/male) spectrum, best way to describe those is; non gendered or null gendered. These are only some examples, there's quite a few more; feelings, after all, can often not be categorised.
Now when it comes to transitioning this can vary for each individual, but what I think you're aiming at is androgynes who desire to look more androgynous. According to the dictionary that can mean the following:
1. being both male and female; hermaphroditic.
2. having both masculine and feminine characteristics.
4. neither clearly masculine nor clearly feminine in appearance
The first definition is disputed, and you'll find at these forums that androgyne is not used as a term to define a hermaphrodite, in fact: the term used for the old 'hermaphrodite' is intersexed. However, in terms of transitioning there are those who transition to intersexed... And there's those who transition to have both masculine and feminine characteristics (definition 2) which can involve hormones, top-surgery etc. The last is probably the most popular definition in popculture: not clearly female or male. In terms to transition this can be a light varient; a haircut, clothing style, but there are also those who desire to remove all sexual characteristics from their body.
If you look at the above then surely some forms of transitioning will have quite the effect on someone's surroundings. Sometimes a haircut is already enough to stir attention. Reactions can be positive, reactions can be negative, and when asked about it it's best just to be plain honest which can be broken down to a simple; 'I want to look the way I feel'.
In my personal opinion, an androgyne transition (to androgynous) doesn't involve 'passing' (with the exception of perhaps bigendered androgynes who care to pass in both their female and male form). Hence there will always be confusion, and perception wise: people will always see what they want to see (family and friends included).