WooCommerce, done properly
Most WooCommerce stores in Dhaka break at the part that matters: checkout
Here is what I see again and again. A Dhaka business pays for a WooCommerce site, the homepage looks fine, the product photos load, and then a customer in Banani tries to actually buy something on their phone and the whole thing falls apart. The bKash payment opens in a confusing redirect, the cash-on-delivery option asks for a full address in a format nobody fills out correctly, the shipping for inside-Dhaka vs outside-Dhaka isn't separated, and the order either never lands or lands without the customer's number. That is not a WooCommerce problem. That is a build problem.
I build the checkout first, then everything else around it. Because in this market checkout is the whole game. Your buyer is on a mid-range Android phone, on mobile data, deciding in about four seconds whether your store feels trustworthy enough to type their bKash PIN or hand cash to a delivery rider. If the page stutters, if the manual bKash 'send money then enter transaction ID' flow is confusing, or if there's no clear COD option, they leave. I've handled enough of these flows to know exactly which payment and delivery combinations Dhaka shoppers trust, and I set them up so orders come through clean with the phone number attached every time.
I work as one senior operator. When you hire me, the person who plans your category structure is the same person who configures the bKash/Nagad gateway, writes the theme code, sets up the COD zones, and is on the phone with you the week after launch when you want a new product type added. Nothing gets lost in a handoff between a 'designer' and a 'developer' and an 'account manager,' because there is no handoff. There's me, roughly five years of doing this, and your store.
And I'll tell you the truth about cost, which most won't. A real WooCommerce store that handles inventory, variations, two or three payment methods and proper Dhaka delivery zones starts at 50,000 BDT for a reason. Below that you're getting a template someone half-configured and walked away from. My tiers run 50,000, 90,000 and 1,50,000 BDT depending on catalogue size and features, with fully custom builds from 3,00,000 BDT. Fifty percent advance to start, fifty percent when your store goes live and you've approved it.
See pricing in BDT