Do you introduce your children to the men you're dating?

So I've had the TV on today while I've been working on my businesses on the computer. I ended up on Bravo, and I'm in the middle of a "Housewives Of New Jersey" marathon. I must say I haven't watched this season's episodes, but did get caught up in the guilty pleasure that was "The Housewives of New York City."

Anyway, in the last episode I got engrossed in today, one of the housewives, whose divorced or widowed or something (I'm not sure which), is breaking up with the guy she's been dating. Apparently he's 20 years younger than her and it's finally dawned on her that he may not be in the relationship for the same reasons she's in it. She mumbled something about being the same age as his mother, and really wanting to meet someone she could married one day, and she was sure he didn't want that at this point in his life. Anyway, she (I have no idea what her name is) breaks up with him. They promise to remain friends, she thanks him for being there for her when no one else was (apparently all the other HW of NJ stabbed her in the back by publicizing her past life as some sort of criminal!), they promise to keep in touch, they say good-bye and it's over.

Cut to the next scene with her back home sharing some quality time with her two young daughters (14 and 10). They're just chilling out in one of the girl's bedrooms and the topic of the ex comes up. She begins to explain that they broke up, but how he wanted Mom to let them know that he still cares for them alot, and how he promised to keep in touch with them and would always want the best for them.

Now I'm not being judgemental or anything and I believe everyone should do what's best for them. But this just rubbed me the wrong way. Maybe it's because I have a 14 year old son, and I've been single since he was two and he's met 2 maybe 3 of the men I've dated over the years. The ones he has met were men I'd been in a relationship with for a very long time (at least a year) and I was pretty sure they would be around for a long, long time. The reasons this has worked for me are several. First of all, children are very impressionable. They tend to put their parents up on pedestals even when we don't deserve it. If they see Mommy going from relationship to relationship it might be teaching them to dysfunctional habits we work so hard to undo in ourselves. I certainly didn't want him to see a parade of men in and out of the house on a regular basis. I mean there weren't that many but I've had my share of flings! It just doesn't look very nice. Second, they form attachments very easily and I didn't want him getting attached to someone who wouldn't be around long. He spent a very long time getting used to the fact that his Dad and I weren't getting back together. It just didn't seem fair to throw another person into the mix. Thirdly, I just didn't want to put my self in a position of having to explain myself to my young son! I'm like who the heck is he, that I'm sitting here explaining why Mommy makes bad choices in the men department. I'm just not having that! The pedestal thing might be deserving, but I liked being up there in his eyes. Letting him know that I'm a total screw up is just way more than I'm willing to put up with!! Too humiliating as a parent!

So my question is this...Do you think it's OK to introduce your children to ALL the men you date? And why or why not? How long after you start dating do you introduce them? How has it worked out for you one or the other? I'd like to get others perspectives on this touchy subject!