 Nyorai mberi kweiyi ndima - The Giants ipapo vakashanyira mukwikwidzi pasi pemurairidzi mutsva Allie Sherman muna 1961, 1962, uye 1963, asi akarasikirwa nomumwe nomumwe wavo. Kuti avandudze zvaaifunga kuti idambudziko rekuzvidzivirira, Sherman akabva atengesa vatambi vazhinji vanodzivirira, kusanganisira Cliff Livingston, Rosey Grier, naDick Modzelewski. Pashure pokutengeserana uku, Huff akaenda kumuridzi Wellington Mara uye akavimbiswa kuti aisazotengeswa. Asi muna 1964, murairidzi mukuru weGiants Allie Sherman akachinjanisa Huff kuWashington Redskins nokuda kwekudzivirira Andy Stynchula uye kumhanya kumashure Dick James. Kutengeserana kwacho kwakava nhau dzapamapeji okutanga muNew York City uye kwakagamuchirwa nokunyomba kwavateveri veGiants, avo vakazadza Yankee Stadium vachishevedzera kuti Huff-Huff-Huff-Huff. 