days out, tried and tested
One farm or petting zoo is listed in Lutjebroek so far, which is a short list and we say so rather than padding it. The nearest other towns with farms & petting zoos listed are Spanbroek (one) and Assendelft (one).
1 farms & petting zoos in Lutjebroek

Lutjebroek is one of the towns this directory covers, with one place listed across every category so far. It is about 43 km from Amsterdam, so a day out here is usually combined with one there.
Weather in Lutjebroek
1 of these are pinned above. Tap a tulip to open the listing.
The one farm or petting zoo in Lutjebroek is not free — it charges for entry. Free entry is tagged on a card the moment a venue offers it, so this answer changes with the data rather than with an edit, and the listing links through to the venue's own prices.
Of the one farm or petting zoo here: coffee/drinks at one and wheelchair access at one. Those are the facilities the venues publish themselves, shown on every card, so you can filter for the one that decides your morning before you set off. Anything not listed is simply not stated by the venue rather than known to be absent.
The closest towns with farms & petting zoos of their own are Spanbroek (one, about 20 km away), Assendelft (one, about 41 km away) and Amsterdam (eleven, about 43 km away). Distances are measured between centres, so add the traffic. Every one has its own page here with the same detail, and they are linked at the foot of this one.
Measured between town centres, closest first.