I actually had similar guys at 1B and DH several seasons ago, with Honolulu (pitcher's park) as the home field.
The guy I had who was similar to Eugene gave me a .307-21-84 season in his first full season, but that was his peak year. He fell to about .270 with about a .425 SLG the following year, and then he was dealt and became a AAAA guy.
The guy I had who was similar to Cesar (but with less raw power) gave me a .300 BA and .400 OBP with 30 HRs his first full season, but slipped to about .260 (still with a good OBP) the following year. His D wasn't great, so I didn't resign him after that season, and he retired after not being picked up.