I probably would get the last one (100-400) since you already have the 70-200. Your 70-200 + TC gets you 280mm, so you wouldn't be getting a real increase in focal length w/ the 70-300 (only 20mm). Also, the 70-300 is a bit on the softer side @ the long end.
Which TC do you have? The canon one? If so, I don't think the 70-300 will work w/ that TC. If you have a different brand, then maybe. So that's another reason to get the 100-400--it will work w/ the TC (plus you'll get 560mm max).
Another option, if you plan on using it only for lunar shots, is to go the ebay route. Seriously. I bought an old vivitar manual focus 400mm f/6.3 (T-mount I think, but it came w/ a nikon adapter, which I then adapted to EOS mount) for around $100 or something. I've taken some nice shots w/ it...and although I initially only bought it for moon shots, I've used it on the mountains too when it's rainy/cloudy. Got some nice shots w/ that. But I never take it anywhere though...just stays at home.
You can even buy a telescope like this C90 @ amazon
for less than the price of any of those lenses. Again, probably only really useful for lunar stuff, and maybe birding on a bright day. Because of the lens design, you'll probably get that odd dount bokeh.
If you're planning on only using the lens for lunar, consider the telescope. It'll get you a LOT of detail, and you probably wouldn't have to crop very much out of your pics. You do have to get adapters to hook up your DSLR to the telescope though, so look into that, if that's what you want. I don't think you'll spend more than $50 in adapters though, but just look into it and add it to the total price before deciding.
If you want to get another lens to complement the ones you have, then I'd say go for the 100-400. It's a pretty nice telephoto and covers a lot of range. You may want to try it first since it's a pump action zoom though.
Either way, I think 400mm is fine for lunar shots (to get started anyway). If you're not that satisfied w/ 300mm, you probably wouldn't be much more satisfied unless you make a larger leap focal length-wise.
also, welcome to the forum!