Exporting bird's nest from Singapore

First, you need to find out whether birds nest is counted as animal product, or falls into any other customs class (in Singapore as well as EU, which is likely to have stricter rules).
Second, you need to check whether what you want to do is covered by these regulations (in my understanding, "export" is the commercial shipment of large quantities out of the country, not a small amount of personal gifts), or any other regulation (again, Singapore and EU)
And third, you ned to think about whether it's really worth buying an extremely expensive product that has no nutritional value, might be contaminated with excrements and microbes and is harvested in ecologically damaging ways.