I ship to the EU all the time. In particular, I use UPS for EU shipping, and they're efficient. Normally there's just a link on the tracking page where you can pay the customs charge which is equivalent to VAT plus a small handling fee of about 20 EUR.
So if 400 GBP for a machine, UPS charges you about 120 EUR.
Before Brexit, EU customers paid UK VAT 20%. Now they pay 0% UK VAT, and pay their own country's VAT. See: