Person is glued to nouns, prepositions, and some particles: my, your, his, our.
סוּסִי my horse, סוּסוֹ his horse. The noun is in a construct-like state. Singular and plural bases take different suffix vowels. A chart in any first-year grammar is worth drilling.
my horse
your (ms) horse
his horse
his instruction
לִי to me, לְךָ to you, לוֹ to him; בּוֹ in him; אִתּוֹ with him. Some prepositions have special bound forms (עָלַי, אֵלֶיךָ).
to me
to you (ms)
with him
upon me
Object suffixes attach to finite verbs (שְׁמָרַנִי he guarded me). They are a later reading skill; context already tells you the object in many verses.
Smikhut: two (or more) nouns in a row, the first in construct, the last carrying definiteness for the chain.
אֵת (often אֶת) flags a definite direct object. It has no English word of its own.
A short list does most of the work in Biblical Hebrew. Particles and a handful of verbs open whole chapters.