This model from Remington is both a trimmer and shaver in one. With a battery life of 40 minutes, you do not need to charge daily.
From Amazon
REMINGTON Remi Personal Groomer PG2000 G2
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Cordless Hair Clippers Remington G2 GRAPHITE Black 40 min
Shopaide
Cordless Hair Clippers Remington G2 GRAPHITE Black 40 min