Sorry for the long winded introduction, I just want some all-around advice, and am here for help. I almost feel embarrassed at the gym because I don't know how to properly do half of the routines, so I just stick to what I know. I don't know the names of all the machines, I'm slowly learning them, but here's what I've been doing (after skimming through some other posts, it seems I might be doing it wrong, but that's why I'm here

Every day this week I have ran for 36 minutes on the elliptical machines, which is a "full" weight loss / cardio exercise according to the machine. heart rate seemed fairly high the first day I did it (162 average, 184 max), but I just got back and averaged 148, with a peak of 164.
Past the first day, I've went after CNA class at around 3:30 and did the 36 minute ellipticals. I head home, goof off, then head back around 8:30-9:00 until around 10:00. During the latter time period, I typically do the 36 minute elliptical, lower ab machine, upper ab machine, triceps, lower back, and the free one-handed weights. I don't know the specific names of each (I've never been the workout type), and will describe upon being asked if needed. Typically I do one set of 8 at a "comfortable" weight, then raise it by one notch and do two more sets of 8, taking about 30 second breaks in between.
goal is basically to be a bit healthier, get in better shape, and lose some fat. I am not one that is fond of "bulk" muscle, I just like being in good shape. As for weight, I really don't count numbers too much, but I'd say around 170 would be a goal weight for me. Long term, I will be going back to college in two months, but we also have a fitness center there, so hopefully I can keep this up.
I am open to any advice, and have probably a lot of questions that will be asked over the next couple weeks

Thanks again,
Will
Edit: I also used to swim a lot (before I went to college). Would that be an advisable routine? I have yet to try out the rowing machine, but I've heard it's supposedly one of the better exercises to do. Would either of these be something that would be a plus? neighbor also said I should go into the steam room/sauna because it's supposed to be good for you, but I am skeptical...all logic points to the fact that it might raise heat/sweat tolerance and maybe lose water weight, but nothing too beneficial...is this incorrect? Thanks again.