שַׁלֵּ֤חַ תְּשַׁלַּח֙ אֶת־הָאֵ֔ם וְאֶת־הַבָּנִ֖ים תִּֽקַּֽח־לָ֑ךְ לְמַ֙עַן֙ יִ֣יטַב לָ֔ךְ וְהַאֲרַכְתָּ֖ יָמִֽים׃ (ס)
אַװעקלאָזן זאָלסטו אַװעקלאָזן די מוטער, און די קינדער זאָלסטו נעמען צו דיר; כּדי דיר זאָל גוט זײַן, און זאָלסט מַאֲריך-יָמים זײַן.
Rashi
למען ייטב לך וגו׳ THAT IT MAY BE WELL WITH THEE etc. — If in the case of an easy command which involves no monetary loss, Scripture states “Do this in order that it may be well with thee and thou mayest prolong thy days”, it follows à fortiori that this at least will be the grant of the reward for the fulfilment of commands which are more difficult to observe (Chullin 142a).
Chizkuni
ואת הבנים תקח לך, “and the young ones you may take for yourself,” in order to eat them. We learn from here that the eggs may be eaten even, though they have been taken from a living bird. (Talmud, tractate Chulin, folio 64, and Tossaphot there)
Ibn Ezra
it may be good with you God will show mercy to you, and bestow good upon you.