Learn French: Est-ce que tu viens manger chez moi ce soir ? - Are you coming to eat at my place tonight?

The preposition chez must be followed by a stress pronoun (like moi, toi, lui, or elle), not a normal subject pronoun (like je or tu). So "at my place" is always chez moi.

Why are the verbs viens and manger right next to each other?

In French, when you use a verb of motion like venir (to come) or aller (to go) right before another action, the second verb stays in its dictionary form (the infinitive). Here, tu viens means "you come" and manger means "to eat".

Does ce soir literally mean "tonight"?

It literally translates to "this evening" (ce is a demonstrative adjective meaning "this"). French doesn't have a single specific word for "tonight", so ce soir is the standard way to say it.

Could I ask this question without using Est-ce que?

Yes! In casual spoken French, you can just drop it and use a rising tone of voice: Tu viens manger chez moi ce soir ? You could also use the more formal inversion method: Viens-tu manger chez moi ce soir ?