Idle and warm start issues

I have an 04 manual with 170,000 on the car. It has a remand motor in it now and it has 40,000 on it. Just recently, at idle, my car would die. I changed plugs, wires and coils. Car will start up fine and idle until I drive it. If I come to a stop light or just push the clutch in it will die. Then being that the engine is warmed up, it won't start again until it cools down. It's starts up like it normally does and doesn't have any loss of power when driving until you stop or try to let it idle. I've been told to get the compression checked and that it could be the fuel pump. I need some input as to what to do next. Thanks in advance for any help/ advice. It's greatly needed.