Recommendations for cameras?

I'm just getting into photography and would like to know what camera would be the best for me to use.
I use the manual focus setting regularly, and know how aperture, shutter speed, and ISO fit in and plan to learn how to use it more often. I was wondering what bridge or point-and-shoot camera would be the best for me, or if I should just invest in a DSLR (like the Canon Rebel T3 or Nikon D3000) already. If not a DSLR, the camera should be around $300 or less.

Try to be around CANON. However your price limit
500 might fit your budget? I guess

If you already know all the basics, then you're probably ready for a DSLR.
Any of the entry level DSLRs would keep you happy for a few years. I'd pick either Canon or Nikon. I have a LOT of contact with other photographers and time and time again it seems that either one of those are most likely to make their owners happy.
The most important part is to buy only the best lenses - camera bodies get upgraded, lenses stay with us.
You WILL regret buying cheap lenses.
Don't rush into buying lenses. Start with a kit lens, get to know your camera, that lens, and all photographic principles.
Through time and through use, you will eventually KNOW what other lenses you'll need/want.
The more time you'll take, the less likely you are to regret your choices.
If you know anyone close to you with a camera, consider borrowing lenses and "picking their brain" about their camera and whatever else they know.
Go to a store and hold a few cameras, see how they feel to YOU.
Keep in mind that buying a DSLR isn't cheap, even if you find a good deal for body and kit lens.
You'll also want and/or need a few other things such as tripod, filters, a bag, sensor cleaning gear, a second battery, memory cards, perhaps a remote shutter release etc.
That's just the small stuff - I can guarantee you that you'll also want more and more lenses.
You'll also want a decent flash some day.
See how that list just goes on and on?
Owning a DSLR isn't cheap - at least not until you have built up a nice stash of gear.
Just some food for thought…