Yes, we ship to Switzerland, shipping included, but here is how the local VAT is handled.
When you choose Switzerland in the country selector in the upper right corner, the prices on the web pages are without EU VAT.
Please note local VAT will be handled by our carrier (DHL). We do not offer VAT inclusive for customers outside the EU. The carrier will apply local handling fees when clearing consignments through customs outside the EU. There may be handling fees from the carrier in the import process.
A quick Google search tells us the VAT standard rate is 7,5% for Switzerland.