Hi there,

For a cutting height as low as 10mm, you're entering the territory where a cylinder mower would be more appropriate than a standard rotary mower. Most battery-powered rotary mowers typically only go down to about 20-25mm at their lowest setting.

Cylinder Mowers for Low Cutting
Cylinder mowers (also called reel mowers) are designed specifically for achieving those lower cutting heights you're looking for. The Cobra Fortis cordless cylinder mowers, for example, can cut down to heights as low as 7mm, which would meet your 10mm requirement.

However, there is a significant price difference - cordless cylinder mowers tend to be considerably more expensive than rotary models, often starting at £400-500 and going up substantially from there.

Budget-Friendly Alternative
If budget is a concern, you might consider a manual push cylinder mower, which can achieve the same low cutting heights but at a fraction of the cost (usually £100-200). These don't require batteries but do need a bit more physical effort to use.

Would either of these options work for your situation? I'd be happy to suggest specific models if you could share a bit more about your garden size and budget.