Ailecek means "with all family/with whole family". It's my opinion, I think that 'Ailece' is sounds more correct, but I checked TDK (Turkish Language Institution) it says both are correct. And both means same. Ailece/k; Aile(Family) -ce/k(with, whole) Here is some examples to understand the postfix(-ce/-ca/-çe/-ça); Okulca geziye gittik. (We went to trip with (whole) school) Sınıfça yemek yiyoruz. (We're eating with (whole) class) Ailece/k pikniğe gidiyoruz. (We're going to picnic with (whole) family) Hope that was helpful for you)

with all family