Try Richard Mellor in Sheffield. 0114 273 8135. I know that's Yorkshire, but he might be able to help. He has a WoodMizer he goes out with. The charge tends to be around £300- £350 a day for the services of most of these operations.
The trunk is likely to be the only section worth planking up. Sycamore needs doing quickly after felling and specially handled to prevent rapid discolouring mould growth that leads to major loss of value.
Branches usually contain reaction wood and are unlikely to yield usable timber. The exception to this are occasions where the first branching of the trunk results in a pair of limbs that grow near vertical yielding what's known as a second cut.
Anything that grows with a noticeable lean (trunk or branches) or growth of any sort that tends towards to horizontal is unlikely to be interest to either a sawyer or a furniture maker due to the earlier mentioned reaction wood content, i.e., instability. Slainte.