In my opinion, my opinion only.
Most trans people realize that it's a struggle to find ourselves and our ideal presentation, so they shouldn't be offended. That's not to say people won't look at you like, "mmhmm, cross-dresser," depending on how you present yourself.
In my minimal and limited experience, being trans is typically about trying to blend in with society. Not necessarily being ashamed of being trans and overtly trying to hide that fact to the point of lying, but keep things simple and dialed down. Keep the makeup and hair styles simple, keep the clothes simple. Don't be the drag-queen with the sparkly dress and big hair and costume jewelry, unless you want to be seen as that way, then go right ahead.
Nobody is going to be offended by breast-forms, some girls use/need them. Nobody is going to be offended by a wig, some girls don't have hair and need them, or just like to change their hairstyle like I change my panties.
Put the whole package together with taste and elegance, that's the key.