Car over heating after changing thermostat

You could have a couple different issues now. You may still have air pockets in the system that haven't burped yet or you may have gotten it too hot during the initial failure and now you have a blown head gasket or cracked head. Aluminum is very unforgiving to temperature

I've had a cracked and blown head gasket before and I'm not seeing the same symptoms, however it doesn't seem that the coolant is flowing through the system because the hose leading to the thermostat is very easily squeezed.

That hose is coming from the thermostat, not to it and being soft doesn't mean much of anything. You need to positively be sure all the air is out of the system. We use a vacuum fill method to accomplish that.

I was told to fill the coolant reservoir, let it idle until regular running temp, shut it off and let it cool, then refill it. I've had numerous engine problems with including having the wiring harness replaced. Every time is reaches normal running temp it dies. Usually starts back up though. Paid $700 for it and have put $1400 in it not including what I paid for it.

That works on some cars, not all.

I understand. I just can't afford another trip to the mechanic. There's no smoke from tail pipe thankfully. I haven't seen smoke from the engine either like yesterday.

Get it up to operating temp and then take it for a quick ride. Bring it home and shut it off until completely cold (hours) and top of coolant. Repeat until it doesn't take any more fluid.

Will do, thank you for your help! If it does start to overheat, what should I do?

Head to the repair shop for testing. It's probably something serious.

Tries what you said and had smoke coming from here.

No picture shows up. Might have been too big.

Pretty sure it's the engine block.