I choose to give my tithes to my Church, fully confident that the way the use the funds is totally consistent with my values – including not wanting any of my tithing funds to enrich any individual. Then, since the scripture says to brings tithes AND offerings into the storehouse, I interpret that to mean that the tithes are for the Church and the offerings are for the poor. So consistent with the teachings of my Church, my family helps the poor and needy by fasting for 24 hours once a month and donating the amount we would have spent on food for that day to the poor through the Church for the Pastor to administer. We also donate our excess goods to Goodwill. We also serve the poor directly through the welfare program of the Church and via our own initiatives whenever we can, since there is much joy and satisfaction that comes from helping others who can’t help themselves.
In other words, my answer to your question would be that we should give of our tithes and offerings generously to the true Church of Jesus Christ AND to the poor, consistent with the wise counsel of the Bible.