I will be up for an upgrade in a few months. Currently running a Droid X2 which requires a reboot (due to a memory leak) every 4-6 days. Before that, I had a Droid 2's power on/off button stop working after a phone lockup and had to pull out the battery to get it to power off. I have read countless reviews of phones, and general stability (needing a reboot) is rarely mentioned. My wife's iPhone 4 is rock stable with all her apps running.
Currently looking at
Galaxy S4 - great screen, 2 gigs ram, replaceable battery / memory card, but wonder if the gigs of samsung and verizon apps will cause general stability issues??
Razr Maxx HD - Biggest battery but burned twice in the past. found a blurb from on Moto support site basically saying "recommend a reboot every few days to keep running optimally" which is unacceptable to me.
HTC One (when Verizon gets it). Hear mixed reviews of HTC's quality in general.
iPhone 5(s) - small screen and don't really want to be associated with apple products due to their fanboys, but if it gives me a stable product.. I will consider.
My 2?...
I've owned Android phones from all of the big 3 -- Samsung, HTC, and Motorola. Here's my take on each manufacturer's device (this is VERY general, and not specific to any device):
Motorola
PROS: Great radio. In my experience, Moto phones get the best reception out of any of the other Android makers out there. If you live or work in "fringe" areas, this may be something to consider. Granted, I'm not saying HTC or Samsung have *bad* reception, just that Motorolas seem to do better. The obvious other advantage with the Razr Maxx is the huge battery.
CONS: The UI. I've never really liked the UI on Moto android phones. Doesn't seem to add nearly as many features as Sense or Touchwiz, yet doesn't even come close to running vanilla android either.
HTC
PROS: Sense. Some folks are huge fans of HTC's Sense UI...some aren't. Is this really even a "pro"...that's up to you I guess. I haven't really had a chance to play around with the latest version on the One, but reviews seem pretty positive. The other positive feature of the One is it's metal casing, which some prefer to plastic casing used my most other manufacturers. With the One, you also have the higher quality speakers.
CONS: Battery. Again, I'm not familiar enough with the HTC One itself, but in generally HTC devices have a reputation for having small batteries and short battery life compared to competitors
Samsung
PROS: There's a reason the Galaxy line of phones is the top selling Android device. The UI is nice blend of features and usability without deviating from the traditional android experience too much (opinion). The camera is superb. Removable battery and SD card support. Great screen. Battery life is noticeably better than any HTC phone I've ever owned.
CONS: Radio. If I had to list one con about the samsung devices I've owned (the S3 and now the S4), is that compared to HTC, Motorola, and even Apple devices, the signal strength and data reception aren't as good. 99.9% of the time this is a non-issue for me, since I live and work in areas that have great 4G signals, and I don't usually have to worry about it, but there have been times when traveling that I've noticed that my friends with iPhones and Motorola phones are getting data signals while I'm struggling to get web pages to load.
Again, these are just very general statements...I can't stress enough that you should do your own research on whatever specific models you are considering before making a decision.
Keep in mind too that the Droid Razr Maxx HD was released last October, and it is a bit behind the One or S4 spec-wise. If you choose to go that route, you may want to what new devices Motorola has on the Verizon come August when your update is available.
Also, just another comment regarding the reboots you mention above. I've never had the "need" to do regular reboots with my S4 due to memory leaks or anything like that, but with any phone it's probably not a bad idea to reboot it every now and then (once a week?) just to "refresh" the system (yes, even iPhones). Of course, the great thing about the S4, at least my S4, is that it reboots in less than a minute, which is much better than waiting the several minutes it used to take for many of my older phones to reboot