My wife has a Razr, me a Rezound. Both devices are great, here are my cliff notes on both. Sense is better than motoblur, but who cares? With all the 3rd party lockscreens and launchers does it matter? Facebook pictures showed up on my wifes contacts as easily as mine. Motorola's cloud based multimedia software is actually pretty nice. It's not much different than Google Music, but it does your photos and videos. Also the smart functions on the Razr are great, as it toggles things on and off depending on your location. Again, a lot of 3rd party apps to this, but it's already there on the Razr.
Razr is to thin. My wife can't shoulder hold the phone and talk on it. It's also to wide for the screen size. It feels horrible to hold as well. Say what you want about HTC's boring design, but it is very easy to hold, can be shoulder held, and is very ergonomic for it's size. I can't comment on battery life as I'm having some heat issues with mine, and also, I use my phone a ton all day, and she just plays words with friends over wifi at night..... We got the phone for free, so I guess I'm paying $30 a month for scrabble.... But I digress. You get an actual pair of headphones with the Rezound. I'm gonna just say anything Monster does is stupid and overpriced, but they are still nice headphones.
Unless Verizon gets off it's ass and starts to advertise more for the rezound, there will be better dev support later for Razr later on. I hope that's not true.
Rezound's screen is hands down better. It seems obvious, but you get actual white on the LCD. Now I guess you could say you get actual black on the AMOLED screen, but the black is not as noticeable. I was fortunate that the shop I bought our phones from had the Razr and Rezound powered up and right next to each other, so I didn't have to pretend one was better that the other.
Things that don't matter that people think do. The HDMI out on the razr, vs MHL adapter on Rezound. So your gonna actually sit 6 ft away from your 60" tv and play with your phone all the time? Hmmm... Razr's kevlar back. Ever seen the back of a phone broken?. Beats audio in the Rezound. An EQ on the market does quite a bit more. Gorilla Glass. I thought this was important at one point, but Gorilla glass is just scratch resistant, not crack resistant. I went a year with my HTC Desire completely naked, and all the scratches are on the case, not the glass. And I use the crap out of my phones.
Good luck. My vote is with the Rezound. Only thing wish was I didn't get my phones for free. I really wanted the Nexus, so if your paying, I'd wait for the nexus. The fast software updates alone are worth it.