BLS is a CPR class. It teaches nothing about identifying and taking care of little boo-boos or recognizing a more serious illness but not quite so serious it needs CPR.
ACLS and PALS would be good only as far as the CPR portion. In a daycare you will not have access to a code cart nor will you be pushing those medications. You will be calling 911 unless the daycare is in the center of a hospital and is owned by the hospital. If not owned by the hospital, you will probably still be calling 911. As a nursing student (if your profile is still correct) without a nursing license, ACLS would also only be good for the CPR portion and the rest would be just extra knowledge. As an employer I might also question why someone without a professional license would even be using that cert on an application. Granted it is an easy cert to get but it is not practical for your purpose right now. But, congrats on taking ACLS as a student.
The Natoinal Safety Council and the ARC will usually have approved courses for child care first aid. A college or votech school may also teach an approved course. EMS could be teaching a basic first-aid course but you should make sure it is approved by your state. I would not take a course unless it specially states it is approved for daycare workers.
Here's an example for California:
The purpose of the California Child Care (CACC) Program is to teach individuals who work in the childcare field the knowledge and skills they need to keep children who are in their care safe and healthy. This state-specific course was developed in response to California Government Code, Training Standards for Child Care Providers, Title 22, Division 9, Chapter 1 and satisfies the requirements as stated in that code. All childcare providers will benefit from attending this program. However, there are childcare providers in California who must take the training (any person who provides childcare in a licensed child day-care facility).
This is an example of the many different courses that the ARC teaches and another example for NY and child care providers. Again you must be careful that it is a course recognized by the state for child care providers.
This program is designed primarily for use in secondary schools, colleges, universities and other settings that require a curriculum of greater length than the American Red Cross First Aid/CPR/AED Program.
You have NC listed as your state. Here is some information pertaining to the approved agencies and requirements.