You do realize the House recommends impeachment. It takes the Senate to remove him.. Do you really think there are enough votes to remove him??
I'm pretty sure the House impeaches, not just recommends impeachment. As for removal, I don't think the republicans in the Senate would have the guts even if they won all 23 democrat seats up for grabs next year.
Actually, the process of impeachment takes plave solely in the House. The House votes to impeach or refuses to impeach. (think of impeachment as something like a grand jury indictment but more significant)
If the House impeaches a president the case goes to the senate where they consider the charges and vote to convict or not convict.
In either case, once impeached, a president remains impeached forever.
Clinton was impeached by the House but the senate failed to convict. Nevertheless, he is an impeached president and will remain so throughout history.