Go browse on https://www.theinvisibleedge.co.uk and see if you find something that fits the bill.
Look for a narrow blade with a rounded point.
This would be a good one:
https://www.theinvisibleedge.co.uk/58-1116-razors/6-dovo-best-quality-razor.html
@mashton started
London Fixed Gear and Single-Speed is a community of predominantly fixed gear and single-speed cyclists in and around London, UK.
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Go browse on https://www.theinvisibleedge.co.uk and see if you find something that fits the bill.
Look for a narrow blade with a rounded point.
This would be a good one:
https://www.theinvisibleedge.co.uk/58-1116-razors/6-dovo-best-quality-razor.html