I also have my grandparent's danish teak dressers and dining table and chairs as well as some various side tables, lamps, bed, etc. I've acquired elsewhere. The all look wonderful and I get a nice feeling of connection to my family whenever I grab some socks, or sit down to eat, etc.
As for other pieces of furniture, e.g., cabinets and stuff, we bought them used from a place that combed estate sales in Denmark for furniture and sold it in the US. One attraction is that the old furniture is smaller, so it works in a smaller house.