Hi cesur,
Thank you for your contribution!
Yes, it would depend on the context.
If we said
(I am/we are) making life easier (for myself, you, everyone, etc.)
i.e. as the present progressive
then the translation would be as I have done it
If we indeed take it as a gerund, as you suppose,
i.e. if
making life easier
=
to make life easier
then your translations are better!
Edgar,
here are the romanizations of what she wrote:
Kurashi o yori raku ni suru koto / Kurashi o yori raku ni suru
and
Kurashi ni yutari o motaseru koto / Kurashi ni yutari o motaseru
You may note she also prefers the Japanese word "kurashi" ("living" in the sense of setting up home in a certain place and residing there in certain ways) to my "nichi-jo seikatsu" ("living" in the sense of "ordinary everyday life" ). Given the context of this phrase, it may also be a better way to say it.
(There exists a variety of ways to say "life/living" in Japanese, depending on what aspects of such living we choose to highlight.)
Her second translation option also includes the phrase
"yutori o motaseru"
which means
"gives (your) life yutori"
and
"yutori" also is a very good Japanese word which includes many nuances such as
free time, financial well-being, physical well-being, relaxation, and so on.
(You could translate it literally as "looseness/non-constriction": I sometimes think of the feeling I have when I'm wearing my favorite, comfortable, baggy jeans! 
)
Anyway, so now you know why I love translating from and into Japanese: the translations almost always have to include concept-mapping (and "feeling-mapping" ) into the target language, because Japanese has such different ways of saying things compared to our occidental languages!
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