Then for the most part what he is doing is making threats to frighten you.
In terms of the actual problems the threat to take her abroad can be dealt with by way of an Emergency applictaion for a Prohibited Steps Order preventing him from taking the child out of the country.
If he continues to make threats about preventing holidays then you can also apply for an Order that the child resides with you - which allows you to take her out of the oc**try for up to 28 days at a time without asking her father (unless it clashes with court ordered time she spends with him)
These Orders are both applied for using a Form C100.
In terms of a move this is something that can be dealt with through the courts - and if you reasons for moving are strong it is unlikely that a court will prevent it.
With regard to financial support if you cannot agree a payment then you can apply to the Child Maintenance Service (CMS and they will make an assessment - and enforce it if necessary.
There is however nothing that you can dd to force him to help with childcare when you are at work
The first step for all of these issues is to try and discuss matters with him using Family Mediation
If that fails then you may have to conisder more official ways forward.
I hope that this is of assistance - please ask if you need further details