Tile retailer Tileflair runs a try-before-you-tile sample service: your first four cut samples are free, and its sample page states that free delivery is included (or you can collect from a showroom).

Pick a tile, choose the free cut sample option (if a full-size tile costs under £1 it can count as one of your four), and repeat up to four times per household. Samples go to mainland UK addresses only.

Ordering more than four cut samples, or any full-size samples, incurs the standard delivery charge, so stick to four to keep it completely free.