Yes, "monofilament" and "front lace" are two things to look for in wig shopping, but unforch, the terms are so popular that you find them used to describe a lot of poorly made cheapies these days. Another big consideration is hair quality. Even under the heading of "human hair" there is a lot of quality variation. You can actually buy HH wigs that turn to useless frizz after the first washing. A quick web search of on wig terms will educate you a lot on this stuff.
It's possible to find an inexpensive-- even synthetic-- wig that looks great on you and a super expensive one that looks wiggy and bad on you. Matching a wig to a person, their head and their look is not just a matter of taking something out of a box and putting it on. If you really want a passable wig it needs to be fitted to your head well (most any wig can be modified this way). It often will need to be trimmed and styled to look right on you as well. And once you have it looking right, you need to care for it constantly to keep it looking this way.
~ Lyric ~