cheap exercise vs expensive exercise

After leaving big company, I joined aspiring big company, which brought several new lifestyle changes:
1. I don't travel as much (yet)
2. There's a health club in the building
3. I spend 3 hours r/t commuting

On the advice of a friend I tried very gradually exercising at home. Simple plan to exercise briefly each day.

Day 1 pushups trying to worky my way up to 150 a day in 20 pushup sets. Followed by dips (against a table or chair)

Day 2 crunches and leg lifts with similar goal of 150 in arts of 20 or 40.

I've been doing thud for 2 months and have begun to see muscle definition in chest and arm muscles. Back stengthening, too.

Unfortunately belly still there although some minor definition in upper belly. Very minor.

Seems that there is strength resistance benefit but not enough aerobic to manage weight loss.

So I joined the $60 building gym. But with long commute am challeneged to find workout time. Am wondering if i'll be able to do it.

One question is whether to go to work in workout clothes, shower after workout and change there?

Would save time, but would I actually work out or just shower somewhere else?

Regards, makingourway