What is the best kind of eyeliner that will stay on and is noticeable but not trashy Liquid or pencil?

Try Urban Decay 24/7 glide on eye pencil, they have a variety of colors available, waterproof and long lasting. You can also try MAC Fluidline gel eyeliner. It is smudgeproof and has a softer finish. It comes in a little glass pot, so you will need a brush to apply. I recommend the 266 brush from MAC, which is just a small angled brush to give you a precise clean line.