Here's a page I find helpful. Of course check with your health care provider and follow their directions. I've never been severely neutropenic although I came close once. I tend to wash my hands a lot. When we have flu or colds floating about I wash my hands and use paper towels to dry my hands.
Link:
http://www.realnurseed.com/t1000.htm
I don't empty cat litter boxes and I wear gloves when cleaning or gardening. I do wear a mask when I am in high risk settings such as the doctor's office or in crowds.
My lowest known ANC was about 400 and I normally run around 1200 ANC.
For whatever reason my last reported WBC was 3.2 and I don't know my ANC as the nurse forgot to order the differential. At a good guess my ANC is probably around 1900 which means things are very good.