Whilst your work is making you redundant that does not mean you can withdraw your childcare from the childminder immediately without incurring a financial penalty. The contract you have with your childminder will set out the terms for terminating that agreement. It can often have a 4 week notice period, it may be more, it may be less. Please find the contract you were given when you started using the service provided by your childminder and read it carefully.
Discuss thing with your childminder. Tell them what is happening. Keeping them informed means they can plan ahead and may be able to help you. You never know they may have someone who is eager to take your child's place and thus they might agree to a shorter notice period.
What about job hunting... are you not planning to continue working at all? Taking your child to job interviews would not be good, so having someone to provide childcare may well help.
If you have been in your current job more than 2 years, then you are probably entitled to redundancy pay. That pay may or may not cover the notice period you will need to pay to your childminder.
If you fail to pay your childminder what is contractually owed to them, they are able to pursue you via the court system for repayment of that debt.
Please talk to your childminder and tell them what is happening. You never know they may agree to negotiate a settlement figure in respect of the notice period. They don't have to do so but there is no harm in telling them how great their service is, how wonderful you have found it, write them a glowing reference, be available to chat to parents who are considering using their service, and generally being helpful to the childminder to fill your child's place. You never know the childminder may take pity on you and if they are able to fill your child's place quickly, negotiate a smaller settlement figure.