The care of baseball gloves differs a lot as it is mainly a personal choice of what each player thinks works best for every one of them. The glove is actually an extension of the players hand and treated as such. The leather should be treated like the skin over the players hand. It is vital that first keep the glove leather clean.
Pitchers in softball usually like a slightly larger glove pattern. Generally in the 12.5 inch to 13 inch range, with 13 inch being most viewed. Pitchers like to be able to cover the ball while having the grip for your pitch. Additionally, it gives them a a bit more protection from that hard shot down the middle. Many pitchers like a glove with a beehive web - an solid web. Some prefer the more open broad web. Again, it is a preference by baseball pitching gloves the day of 13 or 14 usually are starting take an opinion on everything.
However, there is a distinction between gloves and mitts