How to get rid of bugs off of your vegetable plants safely?

What kind of bugs are you referring to?

Soapy water.

I use an easy, safe, cheap homemade non-toxic spray for vegetables & flowers both: 1 gallon of water, 1 T (tablespoon) each of baking soda, dishwashing liquid, and vegetable oil. Mix, fill a spray bottle; save the balance for refills. Kills or chases away all the plant pests I've had to deal with except maybe powdery mildew.

Get some Dawn dish soap and mix it in a sprayer a teaspoon to the sprayer, and water and spray very strong, if you think you over did it go back over with clean water and that should do it. Its organic.

Soapy water has worked for me too! Best ofluck!