Yes, tetras love to nip at long finned fish. I tried keeping a beta and guppies with mine. I ended up taking my beta out and putting him in a bowl and my guppies died. I have 2 tanks, a 29 and a 39 gallon one. the 39 is my tetra tank, and the 29 is my live bearer tank. There are all sorts of tetras you can buy, large and small that would fit in beautifully with the ones you have now. For instance a gold dust tera which shimmers under the light like it has been sprinkled with gold dust, or some lemon tetras. I also love the blue columbian ones, they would add some color to your tank. You can mix the livebearers with the egg layers. the main reason I don't is because all tetras are very hardy fish and rarely get diseases, live bearers for the most part are more likely to get ick, fin rot, etc. You can get some short finned fish such as mollies or platties and they would do just fine, just be careful and don't get anything so big they eat your tetras. If you want to try a beta or guppie, you can, just be prepared to move it to an alternate location if the fin nipping starts. I know I am going on and on about this, but here is an experience I had. I already told you about the beta w/ my tetras, well I now have a beta with my mollies and gupppies. I picked this particular beta because it was already swimming aroung in a community tank at the pet store and looked fine. As soon as I put it in my tank the other fish nipped at it, the beta showed them who was boss, (killed 2 mollies), and now nothing will mess with my beta. if you get a beta with the right "personality" he might can handle your tetras. As far as small fish, get you a couple cory's. they are excelent bottom feeders, and will not get to big. Good Luck!