Mother and I share joint legal custody. Mother has physical. Mother has child on weekends. Son frequently shares stories of hopping into bed with mother and boyfriend to watch tv, when vacationing everyone shares same room, boyfriend often attends sunday "family dinners", daughter spends weekends babysitting boyfriend's dog, son is now friends with boyfriend's niece and nephew, boyfriend attends family vacations (grandparents, mother, brothers). It is my understanding that the courts frown on young (under 6yrs old) children being brought into "new relationships". The boyfriend has been around for only 9 months and only came into the picture after most recent court appearance. Assume pro se appearance in court.
Family Law Attorney
Usually there's nothing to preclude a custodial (or non-custodial) parent from allowing contact with their new "boyfriend" or "girlfriend" during authorized parenting or visitation time.
There may be legitimate issues about safety if there is something unwholesome about the particular person and contact with your child, such as a history of violence, criminality, substance abuse, child abuse or neglect or even cigarette smoking, but just the fact that the new girlfriend/boyfriend or their family is around your child is not a ground for objection.
Certain limited objections, such as the child calling the new boyfriend/girlfriend/stepparent "dad or mom" or "disparagement" of the biological parent can be worked into a family court order, but a sweeping ban of the sort you are seeking where the parent can't consort with someone of the opposite sex won't be entertained by a family court, whether you appeared pro se or with an attorney. There's no vow of celibacy that's imposed by a family court.
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Criminal Defense Attorney
Unless there is an issue of what is going on in the bed or some other serious consideration, the boyfriend is essentially entering the familial structure at the mother's house and that is not unusual. Consider that fact that he may someday be her husband.
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