If you can treat yourself well, the next step is to help disguise those male attributes by some selective grooming. Keep those sideburns short, and get your hair cut regularly enough not to have long ridges of fluff growing from the back of your skull down your neck.
Depending how brave you are, how surprised your partner is likely to be and how often you expose various bodily parts to the public, you can also remove (or reduce) hair in other places. Tidy up bushy eyebrows by plucking out rogue long hairs, and straightening the bottom of the brow by pulling out some hairs with tweezers. Don't go mad, and don't attack the top of the eyebrow. Pull out those disgusting hairs from your nose and ears. They aren't nice. Remove hairs from your legs. If you dare do this, the effect is amazing. By preference I use cream - it smells, but it doesn't leave my legs scatched or spotty. If you daren't remove hairs, get a pair of tights with a high denier (60 or more) in flesh colour, which can hide all but the darkest fur.
Look after your nails. Try not to bite them. If you do break them, cut them neatly, or use emery-board to smooth them off. The trick is to remove tiny nicks that will catch on things and turn into a tear. Regular nail care keeps your nails at a reasonable length rather than simply waiting for them to grow into talons.
As a rule, if you choose to use any grooming product, read the instructions properly (even for something simple like a nail file) and you could learn something useful.