There are many different ways to express the idea of enthusiastically enjoying or embracing something. Some possible synonyms for "eat it up" include "devour," "savor," "lap it up," "gobble it down," "wolf it down," "gulp it down," "polish it off," "hoover it up," "suck it up," "relish," "enjoy," "delight in," "cherish," and "treasure." Depending on the context and tone of the situation, some of these options may be more appropriate than others. For example, "savor" implies a more sophisticated and refined experience, whereas "gobble it down" connotes a more ravenous and primal appetite.