I go to a smaller church. We have an average attendance of around 150. We don't have an "outreach ministry".
Our help is usually from a member that knows someone or a family that needs help and informs the deacons of said need. We have had a few come in off the the street and ask for help.
I am sure the larger churches can and do help more people for obvious reasons. I just enjoy the fellowship of a smaller church vs a mega church.
The outreaches I was referring to are not run by the city, these are small self funded organizations As with most organizations there probably is corruption, however one can actually see the work they do in feeding the poor, delivering lunches to the elderly, supplying school supplies etc.
I try to give to my church and a couple of these groups. Our church actually takes up a collection once per month for one of the groups I am referring to.