You're asking which you should get, but you've only provided one URL, for the 1080p Sony. That's a fine set in general terms, but it's not a great choice for using with a game box. The 60 hz refresh rate coupled with its slow 8 ms. response time will just about guarantee you an objectionable level of fast motion blur with games.
As far as the 32 inch screen goes, no, you won't see a difference in picture resolution between 720p and 1080p. But with fast action games, picture resolution won't be your primary complaint.
With LCD and LCD/LED sets, gamers are happier with much faster response times, about 2 ms. if possible, and a 120 hz refresh rate. Even that won't eliminate all fast motion blur, but it's usually a big improvement. Of course, 2 ms. and 120 hz means more money, but a really good TV for game boxes simply doesn't come cheap.
Also, since you're apparently considering Best Buy to purchase it, be aware that Best Buy will stick you for a stiff restocking fee if you decide the set doesn't meet your needs and you try to take it back. To each their own, but I'd prefer buying from a store with a generous no-questions return policy, like Walmart, Target, Costco, or Sam's Club.