As you say you have large hands, have you thought about the D7500 not being compatible with a grip? The D7200 is. The only real advantage the D7500 has is the compatibility with AF-P lenses.
The Art, Contemporary and Sports Sigmas and the G2 Tamrons are at least comparable to, if not better than, the Nikon and Canon offerings with similar specs.
I have not yet had the opportunity to actually hold any of these cameras, except a couple of the mirrorless that are too small for me. I have only looked at the physical dimensions posted in the specifications. I will not be back in the US until January, so the purchase will not happen sooner.
I have read some articles comparing the D7200 with the D7500, and the consensus is that the D7200 will provide better photographs, which is what I am after. Though, I did like the tilting screen on my previous camera which facilitated "awkward" shooting positions, which the D7500 has; but, I will forgo that for the better camera.
I will look into the other lenses. Thank you for those recommendations.
Will your photography be for business or pleasure?
Some great suggestions so far, however, your budget is an important factor.
Super zooms get a bad rap because they are slow and often have distortion issues, but can be great when starting out. Some folks drop thousands of dollars up front, only to find their gear ending up at the bottom of the closet a year later when they loose interest.
Just a few things to consider.
My first camera was a Pentax K-1000 that I purchased about 1976, then an ME Super, and I hauled around these with a couple of Tokina zoom lenses, 35-105 and 100-300, as well as Pentax lenses of 24, 50 and 135 mm. I used these exclusively for 10+ years until the birth of my first child - at this time, my wife wanted a point and click. My father was a professional photographer and I got my inspiration from him. I had a couple of the Sony "superzoom" cameras until recently. Actually, my previous camera was stolen two weeks ago, here in Paris. Insurance claim has been filed and a check is awaiting me in the USA.
At the moment, all I have is my iPhone 8 Plus - it's not bad but it is not a "real camera." So, my inspiration is still going strong and will nix the superzoom lens for a couple that will take me from 18 at the low end to likely 200 or 300 at the top end.
Thanks for your past, and any future suggestions.
Cheers!