I have visited lodges in 14 states, WashDC, and five(5) foreign countries. Here is the basic rundown:
-Normally, all you need to visit a lodge is a paid up dues card. If your Grand Lodge is in communications with the Grand Lodge you are visiting, the secretary of the lodge will look up your lodge, and confirm that your lodge is a regular lodge. You may be required to stand an examination, where you will be asked to show the signs, grips,etc. You may be required to take the "Tyler's oath", where you will swear that you are a regular Mason, and that you are not currently suspended nor expelled. The depth of the investigation varies wildly. Once the WM is satisfied that you are a MM in good standing, and that your lodge/Grand Lodge are "regular", you are good to go.
-You should ask before taking any photos, take care not to photograph the VSL or the working tools, when the VSL is open.
-The lodge you visit will be delighted if you present them with a bottle of wine, or some small gift.
A Masonic "passport" is basically a small book with blank pages, where you can keep a record of the lodges you visit. I wish I had received one 30 years ago, when I was made a MM. I could have had it stamped, when I visited overseas lodges. I have one, that I obtained a few years ago. You might suggest to your lodge, that they consider getting passports to present to newly made Masons.