You have a lot of choices, old and new. New, the lowest I'd recommend is a 1050, the most is a 1050 Ti.
I wouldn't worry about bottlenecks until you say what you'll use it for. Some games won't stress a 1050 at 1080p, other games will need as much videocard performance as you can afford.
If you were happy with GT 710 performance more or less and simply want a better replacement, the GT 1030 DDR5 is more than enough. It is substantially better than a 710, very small, and uses very little power. You can run less demanding games on it, but it's not really a 'gaming' card.