Did Jesus tell us that we should give a tenth to The Church and then give of the excess to the poor?

>Matthew 23:23 KJV Woe unto you, scribes and Pharisees, hypocrites! for ye pay tithe of mint and anise and cummin, and have omitted the weightier matters of the law, judgment, mercy, and faith: these ought ye to have done, and not to leave the other undone. I was intrigued by Jesus saying that they were fastidious in their tithes, but omitting judgment, mercy, and faith. So I looked up the meaning of both tithe, and alms in Webster's dictionary. TITHE The tenth part of any thing; but appropriately, the tenth part of the increase annually arising from the profits of land and stock, allotted to the clergy for their support. Tithes are personal, predial, or mixed; personal, when accruing from labor, art, trade and navigation; predial, when issuing from the earth, as hay, wood and fruit; and mixed, when accruing from beasts, which are fed from the ground. ALMS Any thing given gratuitously to relieve the poor, as money, food, or clothing, otherwise called charity. I also ran across the following verses: >Luke 6:38 KJV Give, and it shall be given unto you; good measure, pressed down, and shaken together, and running over, shall men give into your bosom. For with the same measure that ye mete withal it shall be measured to you again. > >Luke 12:34 KJV For where your treasure is, there will your heart be also. I have taken those to say that Christians have a bigger obligation, than just giving a tenth to the Church. I have checked for similar questions on the site, but found that none specifically answer my question.