This really is the only gay bar you could take your mother to (although I don't know why you'd want to go drinking with your mom), or any of your straight friends. It's tame, it looks classy, and it's pretty much the opposite of the seediness and lameness that your straight friends probably expect out of a gay bar. Just don't go on any day other than friday or saturday, or you're probably gonna walk right in the middle of a drag show (too often at this bar in my opinon).
The inside bar is cool if you can get a seat, but tends to be too loud if you aren't drunk yet. The back patio is my favorite area when the weather is nice...you can watch the crowd and videos and hang out with larger groups of friends. The Miami dance club is a little pointless; it's too small to actually dance, and is a really awkward space that would probably make a better lounge.
The bottom line is that Amsterdam is a great place to start out the evening on a Saturday, then head to Burn for some dancing later in the evening (it's close enough to walk from here) and let loose. If it's just you and a bunch of straight friends (or conservative gay friends), stay here.