My honda hesitates to move when i step on the gas pedal

Sounds like your spark plugs need replaced. ( long shot answer)

time for a tuneup COMPLETE

Fuel filter first thing to check after having contaminated fuel removed. Clogged fuel injectors, crank or cam sensors.

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How's the fuel pressure, and have you replaced the fuel filter yet ?
There are other possibilities.

Did you check the fuel pressure before and after replacing the pump ?
Is the check engine light on ?

Try to get it running a bit to warm up the exhaust. Take a point and shoot thermometer and take the temp of the cat. If temps exceed 400 degrees I would start to suspect a plugged cat.

check disturbtor,ignition cap & rotor they need to be honda oem parts

sound like throttle position sensor.have it check out.also check air duct connected to mass air flow sensor and throttle body.if air duct is loose or off.it will cause severe hesitation.

My 99 Audi A4 2.8 Quattro was havinga problem starting at times. It would idle poor upon start and then it would come up in rpm where it should be. I had hesitation from a start and after coasting for more than 5-8 seconds, the car would shake violently upon acceleration at about 1/3 throttle. I cleaned the Mass Air Flow Sensor. This helped but did not solve all my problems. I then replaced the Mass Air Flor Sensor. Little to no change there ($108.00). Lastly, I replaced the spark plugs. I bought Bosch plugs ($4.82 ea.). This got rid of all the symptoms. I had bad lugs and possibily a dirty MAF!