(I was preparing this while Ramey posted, but I'll still post it anyway)
Renting an apartment and buying the fitted kitchen
http://www.toytowngermany.com/forum/topic/19482-renting-an-a...Abst.: -r Abstand – money to be paid for things the previous tenant built or bought tailor-made and wants to leave in the house, like e.g. fitted carpets, built-in cupboards etc.
http://www.expatica.com/de/housing/German-housing-terms-for-...Abstandszahlung bei neuer Wohnung: Was ist erlaubt?
http://www.express.de/geiler-wohnen/fuer-kueche-und-co--abst...to pay the previous tenant for fixtures and fittings - etw. ablösen [Abstand an den Vormieter bezahlen
http://www.dict.cc/deutsch-englisch/[den].htmlHow to search for an apartment with little to no knowledge of German
Abl Ablöse (z. B. für Küche, Einbauten etc.) one-off payment to previous tenant (e.g. for kitchen, built-in appliances)
Abst Abstandszahlung compensation
https://www.en.uni-muenchen.de/scholars/services/gateway/acc...