I don't have much experience with many characters in this game. In the beginning my mains were King, Yuri, and Mai, but I honestly wouldn't recommend them to a beginner except maybe King.... but even still I would probably stay way from her so you don't rely on her zonning ability as a crux (should be focusing on hit confirms, and landing combos).
Right now my mains are EX Kyo, Kula, and EX Iori... I dabble with Terry somewhat. Out of my mains the easiest to play, and combo from is EX Kyo (can be the hardest to get in on someone though). A beginner can pick him up, and start using combos pretty quickly. The combos only require minor timing even for some of the more complicated ones. He also has combos for days, so you have plenty to try, and figure out what is easiest for you to pull off.
Next easiest is EX Iori. He's a bit different though. You can use him effectively with most of his combos, and be a real threat, but he's also the hardest of my team to master due to his infinites and free cancels which would make you an insurmountable 800 pound gorilla to deal with. Like I said though, those aren't really required to be a threat. He has one of the easiest crossups to pull off. Easier than Terry, and Terry's is stupid easy. Comes with a command grab so if you can't open your opponent up, and they just keep blocking..... BAM!
I don't play Maxima, but since you seem to like him from what I can tell he's a high risk high reward character. A buddy of mine on my friends list plays him (very well), and if I blink twice during a match, then I've lost a character. When fighting against Maxima I have to make sure everything I do is safe. Safe jumps, empty jumps delayed action, etc... otherwise Maxima will hand me a full punish which will nearly kill my character. The buddy's name is HUcast, I recommend you play him, and have him go full Maxima on you

Another easy character you might want to try is Shen.... back when people around here used to play, a couple of n00bs picked up Shen, and were able to quickly HD for 900ish damage with him. The character also has some armored moves (goes through non armored moves)... one such being his st.C. Doesn't have a DP though, and it seems most of his options require meter which is why everyone runs him anchor.