The criteria outlined in the Jobseeker's Allowance page re looking for work will apply to Jobseeker's Benefit as well. It will be a decision for the office dealing with your claim whether you are putting restrictions on your availability for work because of your childcare situation. You should make an application and see how it goes.
Jobseeker's Benefit isn't means-tested so you'll be entitled to a set rate (based on PRSI and previous earnings). Increases for your spouse and children may also be paid, it depends on your spouse's income, so you will be asked for information.