At 51, I've crossed many without much issue. Torn some good clothing when not careful. So, I try to take into account baggy clothing. Hike it up!! Only got cut up once as a child when I fell into one off of a large round hay bale. Hooked my leg on a barb. Still have the scar.
There is really nothing to it provided the fence post is sturdy and the wire tight. Climb at a post. Use the post to support most of your weight. Place first foot a couple strands up. Place both hands on top of the post. Lean into the post. Second foot goes on top strand. Step up and jump over. I generally don't climb down the other side as it adds more time to get tangled. T-posts are much tougher than wooden. Old fences are tough too as they don't provide much support for your weight.
If going through, pick a loose spot between posts. Tougher when done alone. If you have a partner, then no issue. Have them pull apart.
I rarely crawl under.