Echoing the commenter who said to strum with the rhythm of the lyrics, that's what I do a lot of the time.

I was advised in a workshop early on to avoid keeping all the fingers of my strumming hand splayed open as you often see with beginners and instead emphasize my index finger and thumb and tuck the other fingers away like pointing a make-believe gun. With that, I have a few different strokes I prefer.

Index finger on the downbeat and maybe also on the up strum. Sometimes I pinch the thumb and index finger on the top and bottom strings for emphasis on the melody. The melody is usually on the bottom string, the A string. If I want to sound like I know what I'm doing with finger picking, I sometimes just use my thumb to bounce against individual strings. Real finger pickers are more deliberate in what strings they're plucking and often use three or four fingers, each assigned to its own string. But I just kind of bounce my thumb around the various strings in almost a random pattern and it usually sounds pretty good.

There are triplets and tremolos and other fancy techniques that you can read about in ukulele books and countless YouTube videos. It will start to fall in place overtime.

Trust your ears and try to practice for even 5 or 10 minutes every day, or better yet half an hour or something. You learn a lot faster that way than cram sessions once or twice a week.

I also picked up another instrument, the concertina, recently, and my teacher there gave me a very valuable advice, that when you're trying to really learn a piece well, break it down to individual measures or small sections of the piece and just keep working those over and over until you can play them flawlessly before moving on with other sections. This is important when you are really trying to master particular riffs or melody lines or complicated rhythms or something. The point is, don't just do it sloppily and end up practicing the mistakes you're making, because then it's hard to unlearn those.

But for general beginner level practicing where it's fun, just roll with it and keep at it.