Ive cut myself badly once in 6months. I "pushed" the blade while doing my chin and sliced very deeply between my bottom lip and chin. Had a nice 1" gash that was visible for a while but now is a very faint scar. Scars on the face tend to go away though, probably due to all the skincare products and such.

Dont worry about it, it will happen sooner or later so just get it out of the way early. Get a straight and toss all your other razors and you will learn way easier. Thats what I did and it was pretty easy to get the feel for it.