I'm in Northeastern Florida (Jacksonville) and have had some great visitors in my garden. Like you, the majority are the house finch & sparrows, blue jays, cardinals, doves, pigeons...as well as tufted titmouse, pine warblers, ruby kinglets...and some others. In the early spring I have the goldfinch, which are just starting to get their breeding plumage...so yes, you should see them as well. I have the thistle socks hanging, and that's exactly where they go, although they have used the tube feeders with the regular wild seed in them. They also love the huge sunflowers...the actualy flower...they'll spend a good deal of time on them.
As for the hawks...yeah, they'll show up as well....and as much as I love seeing them, I know they're snagging the smaller birds...
"We can judge the heart of a man by his treatment of animals."
Immanuel Kant