In Manage Products ( in 1.9.2), I need to be able to search by more than one search filter at a time.
For instance, bringing up products by Week or Date and then searching those products by another criteria, e.g. Price.
Is there a way to do this? Or failing that, an extension?
In Magento Manage Products page you can filter your goods using available column headers: by ID (from/to), Name, Type, Attribute Set, SKU, Price, Qty, Visibility and status.
By default there is no possibility to add more conditions, unless you use some coding. Since you have mentioned that you might be interested in the extension, you can try Store Manager for Magento . It is paid, but there is 14-day free and fully-functional trial for you to check how it works.
Using this application you can use more advanced filters, setting up various criteria, check this article with video tutorial for better understanding -
You can try this extension - https://amasty.com/extended-product-grid-with-editor.html
It will help you to filter products by multiple attributes and give you many additional options for managing ptoducts.