Car starts but won't idle until I accelerate

Still sounds like a fuel starvation issue - pump, filter or regulator. Check pressure at tthe engine.

Is the check engine light on, and did they check fuel pressure ?

Replace your MAF, its a little pricey around $280.00 or so but this will clear the code but make sure you have the ECM reprogrammed to perform a "learning" sequence since sometimes the code will not clear even though the vehicle will run like new. This reprogramming will most likely have to be a dealer performed procedure.

try a new fuel filter if you haven't replaced it already. you may have a weak injection pump; does it crank for a long time before it starts?

Sounds like 2nd gear in the transmission is slipping. Cars usually shift at 15-20 mph from first to 2nd. First check the trans fluid.

If it has a carby then adjust the auto choke setting. If it is efi check the ambient temp setting. idle setting accelerator position sensor and check for fault codes

Check your catalytic converter under car...When it starts to clog up...Your car want accelerate correctly...Puts back pressure on your motorr

Hello
The engine and transmission in this cars drive train are fully electronically controlled by a computer called the PCM (Power Train Control Module). Whenever a problem like this occurs the computer stores a record of the problem (there are of course some exceptions to this, like the fuel pump for instance) in the form of a fault code in its memory, to read these fault codes you must have the systems memory scanned with a special tool. Once the fault code(s) are read you then must perform the appropriate diagnostic testing to find and resolve the problem(s) DO NOT REPLACE ANY PARTS UNTIL THE DIAGNOSIS & TESTING IS COMPLETED.

A variance of 20 PSI indicates a problem.

I had a similar issue, with my 96 civic. Get a leak down test done. For me, it was bent valves.