I always saw mosquitoes on my side porch , until I planted mints in the flower boxes there .

I used skin-so-soft body wash ages ago, in addition to smelling wonderful, imo, it helped. But I eventually returned to standard repellants with deet. They work clearly the best for me, and I am not spraying the yard with poison that way.

I lived in Florida many years (not far from you - in lake city and gville).
I had lemon grass all over my yard, specially wherein used to hangout. It helped with repelling mosquitoes, but also no stagnant water is important. If you have a pond or any source of water garden, make sure you place a mosquito larvae eating living thing inside as well.

Get rid of all sources of stagnant water. Mosquitoes don't travel far from where they breed. Even an overturned bottlecap suffices.

As others have said birds and bats are the best. I have never had luck with citronella.

They are bad here in Louisiana, too. To a degree, those annoying pests are still an important food source for some critters. Avoiding standing water, though good, is never fully possible. I second the citronella suggestion. Anything you can do to just disguise your own scent is preferable to blasting the yard with chemicals.

I believe made golds and lavender are deterents? I'd ask at a good garden center.

The dog and birds should be fine.
If you have neighborhood cats that roam free that's can be an issue. But dogs and small species of birds coexist well.

Depending on the size of your garden, spray citronella oil around and use citronella oil burners around where you sit.
Eucalyptus oil on the skin helps keep them away & tea tree oil is good for reducing the itching of bites.

Swallows and martins both are good additions for bug control. Never seems to be bothered by my Brittany. Put a 12
or 15 foot pole up with the house at the top for either bird you want to attract.

Dogs will not normally bother martins, their nests are many feet above what most dogs consider their territory. Bat houses work too. While it may sound counter intuitive, a small fishpond with mosquito fish will reduce their population. Having said all of that, You live in Florida, the state bird is a mosquito, so best of luck.