We have every know biting bug here too. I use essential oils as I'm a wellness adviser for an essential oil company, and it was how I thought before anyway.
When I'm outside, I use a diffuser with essential oils in it depending upon how long I'm going to be outside. Otherwise, I just put it on me.
We have a combination specifically made for bug repellent, but I am not trying to sell here, so here are other types of oils that repel bugs.
Any of the mints will do it. Peppermint works great, but avoid it with children, use spearmint instead if you do a mint for them. Personally for children, I love just plain lavender. Essential oils, you dilute with a carrier oil, but lavender is one of the ones you can use neat. I use lavender also with helicrysm as a sunscreen, but that is another thread. lol.
In a diffuser, most of the citrus oils can be good, lemon, lime, grapefruit, etc, bugs don't like them. But don't use citrus on the skin and then go out into the sun, citrus oils are photosensitive.
Catnip is stronger than deet! And really wonderful for repelling. I use dried catnip along with other dried herbs, whatever I have on hand such as lemongrass, cedar wood leaves, etc in an arrowroot, corn starch and baking soda base to make a really effective dog powder.
Most of the repellent's that we talk about here as plants, would in an essential oil will be good at repelling and or helping with bites already bitten. For me, lemongrass essential oil is good at calming the itch and sting from a bite. So is lavender, and basil. Basil is especially good for scorpion bites.
Again, without the ability to name our specific blends that are good for bites, a small list is Peppermint, Rosemary, Thyme, Lemongrass, citrus other than orange, lavender of course,
Chiggers especially respond negatively to lavender, lemongrass and thyme. But thyme and oregano are 'hot' oils, so dilute possibly even more for them.