The first crimper is *adequate*, crimpers of that type tend to deflect before they make a good crimp. They're good in a pinch, but I wouldn't use one if I didn't have to.
The second type is a far better version of the first, the frame is stout enough that it isn't going to bend and twist before the connection is made. If you're on a budget and need a crimper for the shop, get that type.
If you have the $$ to spend, a ratcheting type crimper is the way to go. Expect to spend ~$60 on the tool and another $40 for each set of dies. In return, it will create a connection that is stronger than the wire itself.
As far as soldering crimped connections goes, it is an allowed practice in ANSI J-STD 001, the guideline most industries use for controlling soldered connections. If you feel you must back up a crimped connection with solder, the correct sequence is to crimp first and then solder. Going the other way around can damage the crimping dies.
If you're all about the destination, take a fucking flight. - Frank Turner
Got brap, and twice as much fuel as you. - Akarob