There are various synonyms for the word "there'd" that can be used in writing depending on the context. Some possible alternatives for "there'd" include "there had," "there would," and "there should." For example, "There had been some confusion about the instructions" could be rephrased as "There'd been some confusion about the instructions." Another example could be "There would be consequences if the rules were not followed," which can be rephrased as "There'd be consequences if the rules were not followed." It's important to note that using synonyms can help to diversify your writing and add depth to your prose.