Canon EOS Rebel D5 or Nikon D3200

They are right. Stay away from the Canon Rebels like the T3 and T5 (without the "i") if you can afford the better cameras. The Canon T5 (1200D) is cheaper but it's doesn't have dust sensor protection (and many other things). Also don't get the Canon 75-300mm lens is my recommendation also. Get the Canon 55-250mm STM instead for telephoto use, if you are wanting a quality lens that is reasonably priced.

I used the Olympus E-500 and E-510 cameras for about 4 years, and then purchased the Canon T2i (550D) camera in late 2011. It's a great upgrade. After that I bought more Canon cameras and Canon/Tamron lenses. I used to post a lot on OTF (Olympus Talk Forum) and the Olympus DSLR forum too.

Nikon makes great cameras too, but I don't know enough about them to give you an opinion of what is better. But I can say that if you find the right Canon DSLR camera with quality lenses, that I would expect that you would be very happy with them. If you find another Canon camera or lens combinations and need some additional help, please let us know. Check the Dpreview reviews too.

A little edit: I should have written what is generally good. The Canon T2i (550D) to the Canon T6i/T6s (750D/760D) and the Canon SL1 (100D) cameras are some of the better Rebels. The Canon 18-55mm IS lens and Canon 55-250mm IS lens are good kit lenses (both non-STM and STM) that were sold with those cameras.

Here's some of my recent photos that were taken with the Canon T2i/T3i (550D/600D) cameras, one that was taken indoors at ISO4000.

http://www.dpreview.com/forums/post/57591881

http://www.dpreview.com/forums/post/57553744

http://www.dpreview.com/forums/post/57553898

http://www.dpreview.com/forums/post/57553988

The photo of the heron was taken with my Tamron 150-600mm VC lens. The rest of them were taken with the older Canon 18-55mm IS or Canon 55-250mm IS kit lenses.