Closed variation is simple and fairly easy to remember. Personally I like to try to double up black's pawns if I can get an attack on the knight, if black declines this the alternative is stunted development. Black has other moves here, but white can stay ahead with careful play.
The alternatives, black may try to open it up with the D and E pawns. These start to look more and more like standard e4/e5 openings or d4/d5 openings that happen to have the c pawn advanced.
The knight can block the check, the issue with playing d pawn and allowing the check is you do not want to waste that tempo YET. Black can force the knight to move, yes, various ways but to do so black has to use a move. Allowing the check, its a freebie and black recovers lost time.
I am still learning as a beginner and I wonder how to respond best to 1. e4 c5 as white.It should be a development without phonebooks full of line options. What opening fits best to the c5-response ?
What´s your suggestions ?