Gallery View shifts with new upload, how to?

So I use my website as a portfolio for my art, however I would like to find a way to upload one new image (that you can also click on to enlarge) and have the rest of my gallery shift to accommodate that new image, does that make sense? I’m willing to play around with CMS and Code as my partner is knowledgeable in that area. Any tips on how to do this?

I saw this website in another post searching for an answer, so I’m going to include it as I am searching for a look like this as well. BENJO ARWAS. Photographer and Director

Thanks !