I don't think you need one either @Lavender. I went to court without any legal representation - the remit and focus of the family court is very simple - it's about what's right for the children. They have NO interest (NONE) in getting into he said she said my ex is a pillock - unless there are documented examples of serious safety concerns that would warrant contact only taking place in a contact centre or otherwise supervised. If that is not your situation, then there's really little benefit to having a barrister unless there's some highly complicated point of law that they need to argue for you. And that's pretty unlikely.
You know the form you have to fill in when you apply? This where you write what you're asking for and why? That's your tool. Have you filled this in yet? Sent it off yet? The judges read this before the hearing and it's your chance to show how you are absolutely all about what is best for the children.
That document has to be ABSOLUTELY 100% ABOUT. THE. CHILDREN and what is best FOR THEM. They give not a shit about what he's done or what a nightmare he has been (sadly) unless it's really really unsafe or abusive.
You can say how you want to establish court ordered contact in order to bring stability and predictability to contact which has been missing and causing disruption and distress for both children. Say that you are fully supportive of regular contact and committed to making the children available on each occasion.
Set out what you've worked out about how often, when, where, suggested times and schedule for both term time and school holidays.
The judges will then decide what they think is fair - I found it pretty straightforward. My XH had since we divorced only ever had the children EOW, never in the school holidays and during a bout of unemployment on his side, I found it impossible to afford the two 70 mile round trips in the car to the drop-off point so wasn't actually able to get to contact. So he took me to court! Ha ha! It was so funny. I asked in my document for Friday to Sunday EOW (not just one night away but two because of the fact there was no opportunity due to distance for the kids to have one night in the week) plus half the school holidays. XH nearly fell off his chair when the judge agreed with the reasonableness of my suggestion including the school holiday contact. I also made sure that I explained that (in this case, might not apply to you) that because of the distance it was unfair on the children and would provide them very little quality time with their father or that side of their family if they went on a Friday and were back on a Saturday in light of the distance travelled. Upshot was, the silly git who took me to court for contact (which I was already giving and had never ever withheld) ended up with what he already had - EOW - plus half the school holidays as well!!!!
So just make your application document say exactly what you think is the best arrangement, how and why it meets the children's needs, and touch only lightly on the fact that current informal contact arrangements do not meet the children's needs for predictable regular contact and you wish to work with him to improve this.