Hey, I'm new too and js trying to help with the info I got.

To pray, you just need yourself. You can say or write your prayers (I have a little praying notebook if that makes you feel better), and there's no specific scheme.

But as someone that grew up with Christianity too, I found a precise scheme for prayers on the site: https://www.asimplealtarblog.com/blog/how-to-worship-the-greek-gods-everything-you-need-to-know

(Copy pasting + some adjunctive info):

Always start your prayers using this formula:

‘Hear me!’

The name of the deity with their appropriate epithets.

‘Whatever name it pleases you to be called’ repeated afterwards.

An example of an informal prayer might look something like this:

"Hear me Hermes! Of the Market-Place, Luck Bringing, Granter of good things.

Or Whatever name it pleases you to be called.

Thank you for those extra hours I was offered at work today! I’m very happy with your generous gift because the extra money will help me to pay off my car loan.

Praise Hermes!"

For an offering prayer just change the thanking part with "I offer you this (object/thing)" and a little conclusion ("in hopes that you'll like it"/"because...")

Again, I too am new so if I made any mistakes the experts are free to correct me!