I wrote this and was wondering if it's correct to use "help+ verb without"to".

I became unsure, so I put the "to" in front of "help" and checked its use.

yes. "help" can be followed by verb with or without "to"

"Help is a verb that can be used with or without to and with or without an object before the infinitive. When we use it without an infinitive it sometimes sounds more informal. "web BBC"....And no differences in meaning.