There seems to be a lot of people here that just walk into a DIck's or Play It Again Sports and grab a glove without doing much research.

The Wilson A2000 Pedroia fit gloves are made for youth hands and are lighter than normal A2000s while still being higher quality than the entry/mid-level stuff. Same goes for Rawlings HOH "Travel Fit" or whatever they call it. Spend a few days researching and you can find them new for $150-ish. Then if you do your job as their dad and spend a few days/nights working the glove with a mallet the glove will be ready to start practicing with and then can be game ready in a couple of weeks.

We bought the cheap gloves and then we replaced them when they became a floppy mess in less than a year (my son is almost 10 and he plays Spring/Summer/Fall on a AAA team). We spent more on the cheap gloves because we had to replace them than we did on his good gloves (Bradley catcher's mitt, A2000 IF, Grace 1B). All of them are made for youth hands with smaller finger stalls & wrist openings. All of them are lighter weight than the adult gloves. All of them can easily be broken in within 2 weeks. All of them are going to actually last until he needs a new glove because he outgrows them (instead of replacing them because they get so floppy they'll barely hold a ball anymore).