You speak of a fear of bugs, but consider a greater fear. Do you tremble at a roach in your home, yet not tremble to stand before God with a soul unprepared? The same passage I have preached reminds us that many delay the cleansing of baptism, shrinking back in fear of a virtuous life, yet fear nothing more than a little insect. This is a disorder of the soul, to be terrified by a creature you are given dominion over, while remaining untroubled by the weight of sin that can truly destroy your peace both now and for eternity.
You ask for prayer to remove pests so you may be at peace. What is peace? "Be of the same mind, live in peace, and the God of love and peace shall be with you." This peace is not the absence of disturbance, but the presence of God Himself. Do you imagine that if the roaches vanish, peace will automatically flood your heart? Not so, unless you first make your heart a home fitting for the Master. Where equal authority and inward rebellion reign, there can never be peace; neither in a household nor in a soul. Your fear is a tyrant. Cast it out, not by the absence of the thing feared, but by the presence of a stronger love.
You are alone with your child. This is a heavy burden, but you are not truly alone if you bind yourself to the fellowship of believers with the bond of peace. Recall how the multitude of believers were of one heart and one soul. Their outward possessions were not secure, yet inward peace reigned because love drove out every lesser fear. Seek this unity with your brethren, receiving them with love when they come in, speaking peace not with the voice only but with the mind. For a heart that is bound in love to Christ and His body bears all things lightly and is not easily shaken by a small creature.
The Lord permits even these small trials to turn our gaze upward. When the three thousand and five thousand had one heart and one soul, they did not cry out against pests in their dwellings, for they laid up their treasure in heaven. Let this trial teach you to despise what merely afflicts the body. Fear, rather, the creeping sins that defile the soul, which are the true pests that devour our peace. Let your prayer, then, be not simply for the removal of an insect, but that the God of love and peace would be with you, for in His presence, every lesser evil is put to flight and the soul finds a rest that no earthly disturbance can steal away.