Don't panic, normantxt.
Even the basics can take a little while to get.
Strum with your pointer/index finger. Importantly, stay relaxed. Don't let your hand tense up. Just brush the back of your fingernail downward. On the upstroke let the pad of your finger do the strum. If your fingernail is long then it might make contact too, which is fine.
Use the flexibility of your finger, hand and wrist. You shouldn't need to get most of the movement from your elbow. Keep it all loose.
to begin with, make sure that your hand brushes downward kind of parallel to the top/face of your uke. Try to avoid the strum kind of coming in from the front, as that'll make the finger jam thing worse. If you are relaxed and loose as you strum, and just start with that gentle brushing, you should find that your finger stops wedging into the strings.
I would strongly recommend that you use a metronome. Start it slow and just work at getting your strum to accurately follow the beat. Gradually speed it up. You may find that it is harder to get your rhythm down accurate at relatively slow speeds than at higher tempos. Work on all speeds to get that steady rhythm into your head and hands.
Metronome practice is one of those things you can do with relatively little concentration. You can do it for a few minutes or for half an hour. It will pay off.
If you don't have a metronome then you could download a software one, or try an online metronome such as:
http://www.metronomeonline.com/
Just stick with it and it'll come. Just needs practice, like everything.
Good luck with it. :shaka: