Thanks, Elizabeth.
To keep this simple, I'm going to talk about just one type of UVB lamp - the T8 (1" diameter, traditional style) fluorescent tube. Brands which I know, from testing, have reliable output and excellent longevity (at least one full year) are the Arcadia D3 6%UVB range, the Arcadia 5%+ Euro Range and the ZooMed Reptisun 5.0 range.
What's important, when choosing a UV lamp, is not really the size of the tank. All the size determines, is the length of the tube you can use; the little 10-gallon is only 20 inches long, so a 15-inch tube or an 18-inch tube will be the longest possible; all the others can take a 24-inch tube.
They are all approximately 12 inches tall; but what will vary a lot, will be individual ways of setting up the inside of the tank, i.e., the thickness of substrate, the position and height of hides and climbing rocks or branches, and whether there are "backdrops" which the geckos can climb. All these will determine how close the gecko will be to the UVB lamp, and it is this which is one very important thing, in choosing a suitable lamp.
The other most important thing is whether or not your fixture has a reflector, because if you are going to rest the tube on top of your mesh screen top, you need a reflector fitted. Fortunately, there are several brands of fluorescent tube fixtures for T8 tubes which have built-in reflectors, like this:
https://www.petmountain.com/product/reptile-hoods/11442-517291/zoo-med-zoo-med-reptisun-t8-terrarium-hood.html
If you buy a DIY-store fixture with no reflector, or a UK-style ballast controller with cables and end-caps, then you'll need to attach a simple clip-on reflector to the tube, like this:
http://www.lightyourreptiles.com/miscellaneous-accessories/arcadia-flourescent-lamp-reflectors
The reflector directs all the light from the top of the tube - otherwise wasted - downwards and counteracts the dimming effect of the mesh screen.
(If you have a wooden vivarium with a solid roof, you can hang the tube inside the vivarium, up by the roof, with no reflector at all.)
I will make a little table of examples of the sort of UV levels you'll expect to get, using these tubes in a reflective fixture over a typical ExoTerra or ZooMed Terrarium mesh screen top, at different distances from the screen, in a new post later today. I'll also give you an idea of the range you're aiming for so you can work out what your gecko will get if he is walking on the viv floor, sitting in his hide entrance or climbing up on top of his tallest hide to bask...