I've been fascinated for a while by the original Batman look so thought I'd ape it in a re-design.
Shorter (sports) gloves, pointed side ears and square shoulders with a plain bat symbol. Wanted some blue in there so went with an eerie kelp colour. Darkened up the belt with the same colour too. And with him being a detective he'd need his fingers free to handle clues etc. So, either transparent latex fingers (like surgeon's gloves) or dark tinted. Another thing I was thinking was rubber tips and under fingers. So it's like an extra dextrous grip.
The suit is a ribbed design similar to the one used in The Dark Knight but it's actually based upon this suit here (link).