You can take contraceptive pills but honestly, I don’t advise that for you, because you’re taking care of 2 kids under 2. You’ll be tired and may forget to take a dose on time.
You may want to consider going for the injection instead (either the monthly/3-monthly type), or inserting an IUD, or using the diaphragm (like condoms for female, but more difficult to insert). Otherwise your husband can also either abstain or go for a vasectomy when your family is complete. Then he doesn’t have to worry about condoms.