Federer, travelling with wife Mirka and the couple's new-born twin daughters, next plays Spain's David Ferrer in the third round.
The Swiss said he had to get used to conditions in the Midwest in his opening match as he plays his final event prior to the US Open starting a week from Monday.
'This court plays much faster than the rest of Tour and it takes time to get accustomed. Today was a good performance.
'Ferrer is a fighter and one of the best returners in the game. I look forward to the challenge.'
The win lifted Federer's record to 43-7 on the season as he chases his fourth title of 2009 after winning the French Open and Wimbledon in recent weeks.
The winner in 69 minutes produced 14 aces and saved the only break point he faced.