Build your pizzeria website in Chester
Chester puts locals and tourists in different shopping zones. The city centre is a visitor market where everyone passes through once. The suburbs are where people live, order regularly, and tell their friends. A website does not compete with foot traffic; it builds the repeat customer who comes back.
The city centre walk-in is not your margin
If your shop is on Eastgate Street or the Rows, tourists will find you because they are walking past. You do not need a website to reach them. What you need is a way to reach someone who ordered from you three weeks ago and is thinking about ordering again.
That customer needs to find your menu and phone number without walking into the town. A website with your address, your hours, your menu and a way to order directly is the channel that brings the repeat business. Walk-ins do not repeat; ordered customers do.
The suburban customer is more profitable
A tourist eats once and leaves. A resident of Upton eats every second Friday and tells their friends. A mailing list built over six months of regular orders is the most profitable channel you have because nobody takes a cut and you control the message.
Publish your real location first
If you are in the city centre, say it because it matters to walk-in trade. But also name the street. A tourist looking for "Chester pizza" is fine; that is the walk-in market. A resident from Hoole looking for "pizza near me" finds you because you are on their street and you are visible. Make sure that search lands you every time.