One of the reasons I registered to this forum is that I'm a new gardener and I really don't want to use pesticides. However , so far I've lost the war with pests. I live in FL which is pretty buggy , I'm sure made worse by the fact that the previous owners of our home left an abandoned , dilapidated Koi pond that gave residence to lots of critters , as we witnessed upon cleaning up the area.
I've lost several tomatoes to cutworms , and my basil has definitely been munched on ( although I've read that pests avoid herbs like basil ) ; even my Nasturtium had been enjoyed by some unseen pest. The only thing I've actually seen was a small-ish black caterpillar.
Upon being advised to use dishsoap , water and vinegar - yes , of course - I damaged some of my still-recovering plants. Then I tried a peppery , oily , soapy concoction which so far hasn't been remarkable.
I've almost come to the conclusion that maybe I should treat the whole area with pesticide , wait a few days and then replant. *Almost* - I'm stubborn and would still like to do this the way I want.

Since I'm inexperienced and have only seen one pest ,do any of you have a recommendation for a good product that would take care of a variety of pests ? Any suggestions would be most appreciated.
Thanks in advance !