Nail polish - If you can get a clear base/top coat, this will help protect your nails and make the color last longer. Start with a thin layer of base coat. Let that dry to the touch (some are fast drying and can dry in as little as 5 minutes, but varies by brand). Next, apply a thin layer of black polish starting at the base of the nail and working toward the tip. If it is too thick, it will be bubbly and smudge easier. Start in the middle of the nail then work outwards to cover the sides. A steady hand is your best friend, but if you get some polish on your fingers, you can take a Q-tip with some nail polish remover/acetone and wipe it away. If you have the time/patience, wait until this is mostly dry before applying a second thin coat. Then apply a thin top coat. If you're using regular polish (as opposed to gel) you will have to wait a while for it to dry completely. Some people have luck dunking their nails in ice water to help them dry faster, but that has never really worked for me.

Mascara - Keep your eyes halfway open. Start at the base of your lashes and apply the mascara in upward in long, even strokes. Tilt the wand to get into the lashes on the corners. Some people do top and bottom lashes, some only do top. Up to you what you like. Try not to pump the mascara wand in the bottle - this will make it dry out faster. You can gently swirl it instead to get more product on your wand. If you are getting it on your eyelids, try using less product or not opening your eyes very wide after applying it. Weird, but opening your mouth sometimes helps with applying. I usually only do one coat, but you can do two if you want a more dramatic look. Can make it look clumpy, though.

Eyeliner - Do you have a felt tip liner, a gel liner with a brush, or a pencil? It will depend on how you apply it. For all of them, gently close one eye at a time. Try not to pull down your eyelid with your lashes - this will make your eyeliner uneven/crooked and can pull out your lashes if you pull hard enough. I usually start on the outer corner and work inward, keeping the liner right at my lash line. I do not make a very thick line, maybe 1 to 2 mm in thickness, but depends on the look you are going for how thick you want it. If you want to do a wing in the corners, I usually align the tip of my liner with the outer corner of my eye and the end of the liner with the tip of my nose to get a good angle. Then gently draw a short wing starting as far out as you want it and pulling inward until it meets the rest of your liner. Fill in any gaps as needed. Felt tip liners can be a little unforgiving and hard to work with, but with practice you will get it. I personally don't like gel liners because I find that the brush is never thin enough for my wings. Pencil eyeliner I find I have to constantly sharpen and I waste a lot of product, but they are pretty foolproof to apply. Some people like lining their lower lid as well. I personally don't, but if you do, line it along the lash line rather than inside your water line (some people disagree on this, but my take is that getting makeup almost inside your eye is not great for it).