Personally I'd recommend a Reel Type lawn mower for mowing Bermuda grass, you can use a rotary mower but you have to be careful. Tifway Bermuda is a good grass for residential but is more commonly used in commercial landscapes, golf courses, parks and athletic fields. When you mow allow clippings to remain, it's good for the grass, grass clippings decompose quickly and can provide 25% of your lawns fertilizer needs.I also would Suggested not removing more than 1/3 of the leaf growth during a single mowing especially with Bermuda, Don't scalp it.
Any of the three mowers you listed the Toro, Husqvarna and Honda will work alright but if you want a real nice lawn and want a healthy Bermuda lawn I'd mow with a Reel Type. Just My Opinion.