or maybe a relic from the past
Yes. We don't use dopełniacz any more, use biernik instead. Unless in negative sentences, where dopełniacz must be used.
wypożycyć = borrow/lend/rent/hire commercially when the same item is to be returned as in library books, videos etc
Usually, the place you 'wypożyczasz' things from is called 'wypożyczalnia' (which is also a part of library - usually a 'biblioteka' consists of 'wypożyczalnia' and 'czytelnia').
e.g.
Wypożyczalnia sprzętu sportowego - you can often find ones next to ski tracks, ice rinks etc.
Wypożyczalnia kaset wideo - very popular in late 80th and 90th :-)
Wypożyczalnia rowerów - more and more popular, especially in bigger cities and all places good for biking.
etc.
Cinek