Hi Laura, You should be good to go with those file extensions, but you can test this by setting up a free trial account. You can try uploading the shapefiles in a zipped folder to a trial ArcGIS Online organization or download ArcGIS Pro and try to open them. If either works, then you're good to go with buying a license. https://www.esri.com/en-us/arcgis/trial Hope this helps!
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