The kind of music should be completely independent of the sequencer used. LMMS is the closest you can get to a professional tool for free as far as I know. To sum up the bad news: as a music producer you'll have a hard time doing things without spending any money - at least if you want some convenience.
If you are willing to spend at least a little money, go for FL Studio. The (still pretty common) rumor that it's a child's toy which can't be used to professionally produce music have been false for years by now. It's extremely powerful, yet relatively simple to use compared to Cubase, Logic and the likes. I will recommend it! However, it's not really useful for live performances at all.
Depending on
how you are going to make music, you should also get a MIDI device after all. I personally use a hardware knob and slider panel to input effect automation, it's really a
lot more convenient and natural sounding than drawing curves and stuff like that (I've been there). If you are more into preparing samples and sequence them on the fly, go for Ableton and maybe a Launchpad by Novation. Both do not really have a good free/cheap replacement in the same quality.
Music production can easily become a very expensive hobby. It's a shame, but once you fall in love with it you will be ready to spend a bit of money.
