You can easily create such grids of as per your need. You need to use the 'Create Fishnet' tool of ArcMap. It is simple to use. You just need to input the desired interval size and shapefile your study region.
I am attaching a link to a Youtube video for your reference. Just follow the step in the video.
You can use ArcGIS 10.x Arctoolbox>Data Management Tools>Raster> Raster processing> Resampling
Resample (Data Management): Changes the spatial resolution of a raster dataset and sets rules for aggregating or interpolating values across the new pixel sizes.