"On my days off from work, I like to take a morning walk in a park near where I live."
"On days off, in the morning I like to go for a walk in a nearby park."
"In the morning on my days off from work, I like to take a walk in the park."
例文の全てには "On my days off from work" の部分は "my" と "from work" を付けなくても大丈夫ですが、三つ目の文では文頭に "In the morning" が来るので "from work"は付けても付けなくても意味は同じです。
"to take " と "to go for" は同じ意味で、"walk" の代わりに "stroll" も使う事が出来ます。
一つ目の文の "near where I live" の部分には "where I live" の代わりに "my house" や "my place" を使えます。
二つ目と三つ目の文のように "my house" や "my place"「私の家」を使わなくても大丈夫です。
I go for a walk in the park near my house in the morning on my day off.
When I have a day off work, I like to walk around the park in my neighbourhood in the morning.
ーI go for a walk in the park near my house in the morning on my day off.
「仕事の休みの日は朝、家の近くの公園を散歩します」
to go for a walk で「散歩に出かける」
park near my house で「家の近くの公園」
on my day off で「休みの日に」
ーWhen I have a day off work, I like to walk around the park in my neighbourhood in the morning.
「仕事が休みの時は、朝家の近所の公園を散策するのが好きだ」
a day off work で「仕事が休み」
to walk around で「散策する・散歩する」
park in my neighbourhood で「近所の公園」
ご参考まで!