Prior to being drafted, Moeller attended Cleveland High School in Reseda, California. He then went on to attend Los Angeles Valley College, and was drafted from there in the 17th round of the 1986 amateur draft.\n', '

Moeller began his professional career in 1986 with the Eugene Emeralds. Used almost entirely as a starter (14 appearances, 11 starts), he went 4-0 with a 3.06 ERA, striking out 65 batters in 61​2⁄3 innings of work.\n', '

The following year, Moeller pitched for the Appleton Foxes, going 2-5 with a 7.20 ERA in 18 games (13 starts). Again with Appleton in 1988, he went 3-5 with a 3.18 ERA in 20 games (18 starts) with them that season.\n', '

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