After a short shopping, togetherrip/After a bit of shopping, I will go with my nephews and my wife will go into the park. After a short shopping trip/After a bit of shopping, I will go with my nephews and my wife to the park.

After a short shopping trip, together with my nephews and, my wife and I will go in the park. After a short shopping trip, together with my nephews, my wife and I will go in the park.

We’ll walk around the lake, drink a coffee - for adults(for the adults, the boys will eat ice-cream). - or "the adults will drink coffee and the boys will eat ice -cream." We’ll walk around the lake, drink a coffee (for the adults, the boys will eat ice-cream). - or "the adults will drink coffee and the boys will eat ice-cream"

We’ll walk around the lake, drink a coffee - for adultsthe adults will have coffee and the boys will eat ice cream. We’ll walk around the lake, the adults will have coffee and the boys will eat ice cream.

Better: we'll take a walk around the lake... To have coffee implies drinking coffee and is how we'd typically express this.

A wWalking for an hour will be good forto charged our batteries. Walking for an hour will be good to charge our batteries.

A walking for a hourn hour walk will be good for chargeding our batteries. An hour walk will be good for charging our batteries.

Alternative: Walking for an hour... But you can't say "A walking"