Which one among the three is best to live in Ajman totally depends on your own choice. However, You will not find any property available for rent in all the Horizon Towers A/B/C/D enlisted on Bayut. If I would be at your place, I would have preferred living in Falcon Towers because I really like the design of the properties there and I feel the facilities provided in these properties are better than Alkhore.
But I would recommend you to visit the both sites, inquire about the rentals, facilities and look out for the proximity of properties to important destinations before making your final decision.
If you have any other question, please feel free to ask anytime!
Thank you Madiha for the update.. however I went for view for both, even the facilities are better in falcon, however the space is larger in Al Khore, and even the sun can go through in Al khore better.. the thing that I still looking for a rent in Ajman and any advice will be helpful
Honestly speaking, its a matter of personal choice when it comes to renting out. A few things to consider are nearby grocery stores, conveyance, if you have children then how far is the school, how far is the office where you or your spouse is working etc etc.
As I said its totally a matter of personal choice. As far as living is concerned, both the building are suitable for renting out.