In that case, padded mountain bike shorts with cargo pockets like these might be a good suggestion. Most of the time you can't tell the difference between them and regular shorts.
What helped me a lot were these mountain biking shorts. Read the reviews, I ordered one size larger than would be suggested from the sizing and I'm glad I did.
I was about your size when I started seriously riding several years ago.
Bike shorts make a big difference. I hate regular bike shorts, tho, so I've been wearing something like this for the last several years.
I've come to love bike jerseys just for the back pockets.
In that case, padded mountain bike shorts with cargo pockets like these might be a good suggestion. Most of the time you can't tell the difference between them and regular shorts.
What helped me a lot were these mountain biking shorts. Read the reviews, I ordered one size larger than would be suggested from the sizing and I'm glad I did.