Do you really need a new phone? If the screen is broken, get a new one, it should not be that expensive. Have you got Playstation Plus? You can download Uncharted, Gravity Rush(amazing game), Virtue's Last Reward; by the time Vita gets a price drop, you don't know if these games will still be available, Uncharted probably, the others may be replaced.

Edit: actually you can download Vita games to PS3 and then transfer them to PS Vita, even if they are removed from Plus.

I don't think fixing the screen will cost you too much money so I'd just get the Vita and do a screen repair on the iPhone and use it until it blows up. People are spending too much money on phone upgrades these days even when their old ones work just fine, not to mention electronics are pretty expensive in Brazil so I'd look into repairing your phone for sure and save the extra cost on phones for gaming.

Yes, you´re right, seems  i did not edit my post in time. Besides my last  phone had  a broken screen and a black spot, after a week i did not care anymore, and used it for more 2 years.

Actually, browsing over LTE on the iPhone 5 almost doubles battery life:

http://www.anandtech.com/show/6330/the-iphone-5-review/13

Talk time over LTE does take a small hit, I suspect because of Apple's HD audio feature.

On second thoughts don't buy none of them, you can still use your phone, Vita most likely will get a price drop this year, with PPlus you got plenty of PS3 games to play, there's no need to spend your money incorrectly.

Very interesting, now I am always going to have LTE active on my 5. I wonder how it extends battery life though. hmm

LTE uses lower frequencies than 3G most of the time (800 MHz in europe, I think 900 MHz in the US) which results in less energy drain. If you live in a big city however, LTE uses frequencies like 1800 MHz or 2800 MHz (or something in between, depends on your region) which will drain your battery a lot quicker. 

For reference, 3G uses frequencies at about 2 GHz.

There's more to it than that. Suppose the LTE radio on your phone uses 50% more power than 3G, but your carrier can deliver twice the bandwidth over LTE that it can over 3G. If all that is true, the LTE radio will still use 25% less power to download a file by completing the job in half the time, thereby returning to idle sooner.

Then there are various other improvements, such as the time it takes to process a request, and provider-side improvements that allow carriers to support more users without congestion.

None of this was quite enough to save power on first-gen LTE devices, just because the silicon was so immature. But now that the chips are more refined, LTE offers a lot of advantages.

Guys it takes more time than I expected but...

I finally bought iPhone 5S.

So in the last two months I bought PS4 and iPhone 5S.

Vita is my next target.