Use a trolley such as this one instead of carrying grocery bags. If you prefer grey bags, then this should you just fine.
From Amazon
ROLSER I-Max Tweed 4 Wheel Foldable Shopping Trolley - Gray
ShopBetter24
Shopping cart Rolser I-MAX TWEED 4L Grey (43 L)
Shopaide
Shopping cart Rolser I-MAX TWEED 4L Grey (43 L)