Shaving it off usually creates problems, because body hair is there for reason. Skin is getting irritated when you use lotions and shaving creams. Depilatory cream or razor allows bacteria to grow and thus irritate the skin. The moisture that cause underarm odor or bacteria is absorbed by your hair.
Apple Cider Vinegar
You can simply a put a splash of lemon juice, a little water and ACV in spray bottle. Before you get dressed, spray that under your arms in the morning. You can also keep spray bottle at work if you need to reapply during the day. Your skin will be kept from bacteria that causes odor and will be kept balanced.
You can eliminate underarm odor by cleaning the whole body (armpits) with natural soap. Buy natural handmade soap from goat’s milk if you do not want to make your own soap (castile soap).
Most of you use baking soda to get rid of odors in your laundry or fridge, so why don’t you use to eliminate underarm odor too. This substance is natural and gentle. Make a mixture between a little cornstarch and a little baking soda and keep your skin dry and smell fresh all day. Use it according to your needs before get dressed.