Our home came with 3 very large coconut trees. They are a danger as we have little kids running around in the backyard and are afraid of a coconut falling on them (they do fall randomly). Are we allowed to remove them?

Is one allowed to have relations with ones wife on motzei shabbat? I once heard that it is not good to do given adam and chava were banished from gan eden that night, but is this just a chumra? Please advise on what is best to do.