Dealing With Staph/Sweat When You Have Eczema?

I started training about a month ago and I have mild to severe Eczema. I’m wondering who else out there is training with Eczema or other skin conditions and how do you handle the skin irritation?

Staph is known to irritate/inflame Eczema and other skin conditions.

Do you use antibacterial body wash?

Have you noticed that your Eczema or skin condition has worsened since you began training?

Any input/discussion would be appreciated, thanks!