Get your gates all the same size, large enough to get actual tractor and equipment thru without trouble. We have 14ft gates on all pastures and paddocks, which have worked well for a lot of uses. Tractor and mower fit, even larger tractors when we paid to have fields mowed, disced and seeded, fertilized. A gravel truck fits thru nicely, when barnyards need refills of gravel for footing.
They swing wide for snow plowing should you have deep snow to move or have to swing the spreader on a 90* turn.
I have 7-bar pipe gates for safety. They have wider spaces between pipes up higher, narrow spaces on the lower part, hoping to prevent a pawing horse getting a hoof caught while waiting to come in. I got these gates from the fence installer, they are pretty heavy duty. Sorry, no name brand to help you with. Yep, they will cost more because they use more pipe.
The perimeter fence gate on the road driveway is 16ft, so the semi truck size vehicles can swing in and not take out a gate post. I got a one-piece gate, which has a wheel on the moving end, because it is easier to handle than two small gates. If I need to shut the gate fast, I can without having to monkey around with two gate ends to get in place and fasten shut. The single gate does not move in the wind, drag on the ground, like two small gates will do, chained together.
We have gates with latches or chain and toggle thru an eye screw to lock them closed. Gates are locked open or closed, not allowed to swing in the wind. They stay in better shape, last years longer with the extra care.
We run a hot wire in front of the most used gates, barnyard to the barn. Wire has handles on each end, is totally removed, set safely aside when taking horses in or out of the barnyard. Hot wire keeps horses from charging the gate, pawing gate, getting cornered by another horse wanting to be next, using gate as a rubbing and scratching post. Hot wire saves lots of wear and tear on the gates. All fences are hot, so they can’t rub on that wire when they itch.
I would make sure your gates can be locked open with offset hinge pins, that allows gate to get completely out of the gate opening if you should need all the width. I will lock gates open when letting horses out in the various pastures to prevent horses getting damaged on a moving or not firmly anchored gate when they go thru the openings. One horse here was rubbing on the pasture gate, pulled it half way closed because the moving end had not been fastened as needed. That COULD have been a big problem if several horses tried to exit the gate at speed!!