A few quick thoughts on biamping. I'm running an actively biamped Linn system, which is intended to be upgraded in this way.
Passive biamping, especially if you're using a tube amp, will certainly beef up the bass. Whether this is an "improvement" or not will depend on a number of things. One is quality of the amps. In your case, I don't think that a receiver will do much for you. One good amp is better than two poor amps, or one good amp hampered by a second poor amp. Unless you make a significant jump in amp quality, you're probably better off using one amp and adding a sub like the other posters suggest.
On the other hand, active biamping, where you replace the speaker crossover with an electronic crossover, and then use two amps, is a huge improvement. That's not what you're proposing however. You can do this with: two amps, an electronic crossover, and with or without a sub; or with one amp and a sub using an active crossover. The latter is what Bob is suggesting. That's probably the best way to go with your Totems, although in my view the former is far better if you have a system designed to be upgraded in this way.
As far as using tubes on top and SS on the bottom, a lot of people do this. For some it works, for others it doesn't. I've never tried it.
When you biamp, the amps do not have to be the same. However, they do have to have the same "gain". Otherwise the balance between the tweeters and mid/woofer will be thrown off. Whatever is being run by the amp with the higher gain will be "louder" than the cone being driven by the amp with the lower gain. This can certainly damage the tweeters if it's the less loud one and you crank up the volume trying to restore the volume balance.
Passive biamping, especially if you're using a tube amp, will certainly beef up the bass. Whether this is an "improvement" or not will depend on a number of things. One is quality of the amps. In your case, I don't think that a receiver will do much for you. One good amp is better than two poor amps, or one good amp hampered by a second poor amp. Unless you make a significant jump in amp quality, you're probably better off using one amp and adding a sub like the other posters suggest.
On the other hand, active biamping, where you replace the speaker crossover with an electronic crossover, and then use two amps, is a huge improvement. That's not what you're proposing however. You can do this with: two amps, an electronic crossover, and with or without a sub; or with one amp and a sub using an active crossover. The latter is what Bob is suggesting. That's probably the best way to go with your Totems, although in my view the former is far better if you have a system designed to be upgraded in this way.
As far as using tubes on top and SS on the bottom, a lot of people do this. For some it works, for others it doesn't. I've never tried it.
When you biamp, the amps do not have to be the same. However, they do have to have the same "gain". Otherwise the balance between the tweeters and mid/woofer will be thrown off. Whatever is being run by the amp with the higher gain will be "louder" than the cone being driven by the amp with the lower gain. This can certainly damage the tweeters if it's the less loud one and you crank up the volume trying to restore the volume balance.