Divide posts in Pages
With Divide posts in Pages you will get buttons at the bottom of the grid for every single page of grid items. Clicking on the next page will load those items. Choose for yourself how many items should show up per page.
Use the Button Styling tab to alter the look & feel of those buttons.
Take note that when filtering it will only filter the items on this particular page. Use one of the other pagination methods if that's not the behaviour you're looking for.