Slow to accelerate from a stop and codes P0420, P0130, P0133, P1300, P1310 and P1315

Hello, I have the car listed above that I bought used five months ago. My issue is that when I'm driving it does fairly well until I stop at a stop sign. Then, when I press the gas in, my foot goes all the way down, the pedal makes a popping noise, and I have to pump it until it finally catches and gives acceleration. It doesn't do this all the time. At times, it will drop acceleration when driving, but only when I'm going at low speeds. I need to include some important information. When I purchased the car, it had a bad misfire. I changed the spark plugs, but still I misfire. I drove it until it got worse. I got codes for misfire on cylinders and catalytic converter. I got all new coil pack and replaced the catalytic converter. The car was not drivable after, though the codes went off! It misfired so bad I couldn't get it out of the road. However, after unplugging the Mass Air Flow Sensor, my car would run decently. There is no misfire, but it still hesitates when I go from a stop to acceleration. It literally crawls in the road to the point where I'm afraid to drive it. So, we suspect it could be the Mass Air Flow sensor. My car has been recently having more episodes of a reduction in power as I described but no misfire. If I plug the MAF up, it misfires to the point it cannot get out of the road. My Codes now are p0420, p0130, p0133, p1300, p1310, p1315. I do not think it is the catalytic converter since I replaced it 2 weeks ago. I'm unsure if I should go ahead and replace the MAF sensor. I cannot drive the car with the MAF plugged up. However, I am a 23 year old mother and I'm afraid to drive this car because I cannot pull out in the road. My car sometimes wont move. I cannot afford another car, though, so I need to get to the bottom of this. My father does light mechanic work and can help me fix it if we can figure out what the problem is. Any advice is helpful.