Buy fractional shares of 10-15 companies or full shares of just a few companies?

So I’m looking at investing at least $1080 a month into individual stocks. Wondering if it’s best to buy partial shares of 10-15 companies every month to dollar cost average. Or is it best to just buy a couple full shares of a few companies and switch up which companies every month?

I would kind of feel better buying full shares, but I really want to buy into all these companies I like.

I’m trying to think long term, like 10-20+ years. I’m only 24 so retirement is about 20 years away. Already made all my big purchases too so don’t need any cash imminently.

Any thoughts?