分かりました。どうもありがとうございます！

「出します」 is 「出す」 and 「送ります」 is 「送る」 in non-polite expression. 「送る」 is send, simply. 「出す」 means various action depending on contexts, but the basic meaning is "take out". The difference between 「食べます」 and 「食事します」 is similar to the difference between a transitive verb　and an intransitive verb. 「食事する」　means act of eating and it does not need to be followed by objects. 「食べます」 is often followed (following) objects. e.g. わたしは「ロシア料理を」「食べます」　 In non-polite expression,　they are 「勉強する」　「学ぶ」　「習う」. They are almost same and you may use them as "learn". 「習う」 may be used for physical stuffs. 「カラテを習う」 would be much better than 「カラテを勉強する」