Another factor to consider is that your GS Mini is a compact guitar, so it has a very short scale length of 23 & 1/2" and relatively narrow nut width of 1 & 11/16". For Taylor 6-steel-string guitars where the body and neck meet at the 14th fret, if you go to 100 or 200 series you get the same narrow nut but with the longer "standard scale" length of 25 & 1/2". If you step up to any solid wood series Taylor 300 series & up, the standard nut width is wider at 1 & 3/4" and scale length is either 25 & 1/2" or the "short scale" length of 24 & 7/8" in the GC/x12 body. However, with the 300 series & up, you can special order a stock model guitar and choose between three different nut widths (1 & 11/16", 1 & 3/4" or 1 & 7/8") and either standard or short scale. There are a few other option choices available as well, like pickguard choices and such, in the 300 & up series. In other words, you can customize the guitar to better suit you with the width of the neck and distance between the frets depending on your hand size and flexibility and playing style.
At this point, all of this may or may not matter to you as you may not have established strong preferences yet, but the guitars you play will likely feel different to you than your GS Mini and not from just the body being larger, but because of the width and length of the neck. It's nice to have choices, so for the obvious differences in moving up from laminate back and sides and as well as for the available spec changes, I will like many others urge you to start with the Taylor 300 series.