I made a really sharp(almost U-turn) right to get on my Mom-in-laws road and it started clunking like a flat tire. I got out and nothings wrong with the tires at all.

It'* happened a couple times after that turning and going straight also. Not all the time though. What could it be? and what can I look for?

Check your brake rotors and pads to start with. Then check your hub barrings.

It wouldn't hurt to check your tie-rod ends, also.

Check your CV axle shafts.

What do I look for on all these things?

If I know what to look for it might help me out. I can do the work myself but will probably need to barrow some tools. But I nned to know what i'm looking at first.

Drive around in a circle in a empty parking lot , hard turn left in a circle , hard turn right in a circle , slight acceleration while in the turn ,listen for a cracking or a popping sound around the floor area . If it'* an cv axle shaft , you'll know right away.
You should also check the cv boots and see if they're ripped open .. tell tale sign is lots of grease spitting around them.

check all what the rest of the members said. keep in mind also check ya ball joints aswell. take of both front tires and look at all of your susppension components/drivetrain. good luck with your bonnie.