He also lost a decision to Aaron Wade that year. In 1944, he had nine bouts, going 7–2. His last bout that year marked his debut on the Atlantic Coast, and the level of his opposition began to improve. He beat Jimmy Hayden by a knockout in five, lost to future Hall of Famer Charlie Burley by a decision, and to Booker by a knockout in eight. He won his first eight bouts of 1945, impressing Atlantic coast boxing experts and earning a fight with future IBHOF enshrinee Jimmy Bivins, who defeated Moore by a knockout in six at Cleveland. He returned to the Eastern Seaboard to fight five more times before that year was over. He met, among others, future IBHOF enshrinee Holman Williams during that span, losing a ten-round decision, and knocking him out in eleven in the rematch. By 1946, Moore had moved to the light heavyweight division and he went 5–2–1 that year, beating contender Curtis Sheppard, but losing to future World Heavyweight Champion and Hall of Famer Ezzard Charles by a decision in ten, and drawing with old nemesis Chase. By then, Moore began complaining publicly that, according to him, none of boxing's world champions would risk their titles fighting him.  1947 was essentially a year of rematches for Moore. He went 7–1 that year, his one loss being to Charles. He beat Chase by a knockout in nine, Sheppard by a decision in ten and Bivins by a knockout in nine. He also defeated Burt Lytell, by a decision in ten. He fought a solid 14 fights in 1948, losing again to Charles by a knockout in nine, losing to Leonard Morrow by a knockout in the first, to Henry Hall by a decision in ten and to Lloyd Gibson by a disqualification in four. But he also beat Ted Lowry, by a decision in ten, and Hall in a rematch, also by decision.  1949 was also a good year for Moore: He had 13 bouts that year, going 12–1. He defeated the "Alabama Kid" twice; by knockout in four and by knockout in three, Bob Satterfield by a knockout in three, Bivins by a knockout in eight, future World Light Heavyweight Champion and IBHOF inductee Harold Johnson by a decision, Bob Sikes by a knockout in three and Phil Muscato by a decision. He lost to Clinton Bacon by a disqualification in six.