"Someone like me" is the correct one.
There's a lot to say about the usage I guess, but to make a long story short:
Me is a so-called objective pronoun, opposed to subjective pronouns (I, you, she, he). It's called like this because it's placed in the object field after verbs or prepositions:
Wait for me!
She likes me.
Myself instead, is used with reflexive verbs, meaning those verbs that indicate an action that "falls" on the subject:
I wash myself.
I told myself it couldn't be true.
There are exceptions, you can find them here, but I'll paste the interesting part:
Usage note: There is no disagreement over the use of myself and other -self
forms when they are used intensively "I myself cannot agree" or reflexively "He introduced himself proudly". Questions are raised, however, when the -self
forms are used instead of the personal pronouns ( I, me, etc.) as subjects, objects, or complements.
Myself occurs only rarely as a single subject in place of I: Myself was the one who called. The recorded instances of such use are mainly poetic or literary. It is also uncommon as a simple object in place of me: Since the letter was addressed to myself, I opened it. As part of a compound subject, object, or complement, myself and to a lesser extent the other -self
forms are common in informal speech and personal writing, somewhat less common in more formal speech and writing: The manager and myself completed the arrangements.
There is ample precedent, going as far back as Chaucer and running through the whole range of British and American literature and other serious formal writing, for all these uses. Many usage guides, however, state that to use myself in any construction in which I or me could be used instead (as My daughter and myself play the flute instead of My daughter and I) is characteristic only of informal speech and that such use ought not to occur in writing.
Verbs such as break, sell, and read are examples of what are commonly called ergative verbs. Wikipedia's article on this topic defines an ergative verb as:
... a verb that can be either transitive or intransitive, and whose
subject when intransitive corresponds to its direct object when
transitive.
There is a comprehensive list of ergative verbs on Wiktionary.
Note, however, that the designation of such verbs as ergative is somewhat problematic. The Oxford Dictionary of English Grammar, for example, states: "Some linguists caution against the use of this term". The Oxford Dictionary of Linguistics is more forthright, stating: "The term could perhaps with benefit be avoided". A related Wikipedia article about ergative-absolute languages refers to such verbs in English as "so-called ergative verbs".
Nevertheless, it is important for English language learners to know that many common verbs behave in this way in English, that this is the term they should search for on the internet, and that pedagogic grammars also use the term. For example, here is what the Collins Cobuild English Grammar (p156) says:
Verbs which can have the same thing as their object, when transitive,
or their subject when intransitive, are called ergative verbs. For
many students of English, the ergative verb is a new idea, and may
take a little time to learn. However, it is an important type of
verb, as the common examples below make clear. There are several
hundred ergative verbs in regular use in current English.
Best Answer
The reflexive pronouns (which end in -self) can only be used when the person or thing they refer to is the same as the subject in the clause where it appears.
In the clause in question here, the subject is my tummy, the verb is is eating, and the problematic pronoun at the end (the object) is me/myself.
If you use a pronoun instead of the noun phrase my tummy, it has to be it: “How is my tummy? It is hungry”. That means it is a pronoun in the third person—not the same as me, which is the first person.
Therefore, you cannot use the reflexive pronoun; it must be:
If the object being eaten were not you as a person, but the tummy which is also doing the eating, a reflexive pronoun would be called for—but then it would not be myself, since the tummy is third person; it would have to be itself: