Target: A.J. Burnett, RHP
2013 stats: 10-11, 3.30 ERA, 209 strikeouts in 191 innings, 11 home runs allowed in 30 starts
This is an interesting case as Burnett is a free agent at age 37 who is still looking for a team. It's likely he'll re-sign with the Pirates after having one of the better years of his career last year in a breakout year for the Pirates. Burnett could be a huge addition to the Rangers' rotation if he can pitch like he did last year when he led the National League in strikeouts per nine innings (9.8) and threw nearly 200 innings.
Burnett has never been the model of effiency and has been known, in the past, to fly off the rails a bit mentally during games. But last year was great for Burnett, you just have to wonder if he can repeat it with his escalating age. His 11 home runs allowed were the fewest he's allowed since 2004 when he made just 20 starts, and he's actually got a good track record in Arlington, as Rangers Ballpark is the second-lowest ERA of any park he's pitched in over the course of his career, according to Baseball Reference.
Burnett's price tag would likely be higher than someone like Bronson Arroyo, who might be a better bet to get to 200 innings and hold down the back part of the rotation, but you might have a little more upside with him, as well. His age is the big question, but if he's good from a health standpoint, he could be a nice addition.