Can bailiffs take photos of me leaving my house with my children?

No

It is not an offence to take photographs of children, unless the images are indecent.^[1]

Bailiffs may not take photographs of debtors leaving the house because that is stalking.^[2]

A bailiff must not pursue a course of conduct which amounts to harassment of a debtor, and which he knows or ought to know amounts to harassment of the debtor.^[3]

If you see a bailiff taking photographs of you leaving your home, then you may apply for an injunction.^[4]

It is also a criminal offence, and can be reported to the police.^[5]

^{[1] Section 1 of the Protection of Children Act 1978
[2] Section 2A of the Protection from Harassment Act 1997
[3] Section 1(1) of the Protection from Harassment Act 1997
[4] Section 3A of the Protection from Harassment Act 1997
[5] Section 2 of the Protection from Harassment Act 1997}