>>619016The best thing to do is to go with someone who is an experienced hunter so that they can guide you through the real work that takes place after actually shooting the animal.
Considering your living situation, you'd be better off gutting and quartering your deer on the spot right after you kill it. I live in an apartment too and this is what I do. I put the front shoulders, quarters, tenderloins, backstraps, liver and heart in garbage bags. I put the head in a separate one for proof of sex. This may take you more than one trip to pack out.
I butcher everything at home, vacuum seal it and freeze it immediately while typically eating the heart and liver fresh.
I haven't tasted a gamy animal yet.
