You're asking the wrong people.
I don't mean that anyone who has answered this therad doesn't know anything, what I mean is that you need to ask whoever it is you will be making the logo for to give you pointers.
The thing is, people are going to want to see references of what you've done, they have an idea of what it should look like in their head, it's much easier for them to simply look at somthing you've done before & see if your style reminds them of what's in their head.
That's one thing that trips up alot of wannabe artists, they crash on the thought of not having a portfolio to refer to.
There's a solution.
Make up a fictional company in your head.
I'll use "Mikey Mikarudens Moon Cheese" for example.
Why ?
Because Mikey Mikaruden is a bit of a character with a relatively silly name, I like funny characters, if I liked scarry characters I'd come up with a scarry name, I don't want to get asked to come up with scarry characters, so sticking with what I like will also make things easier for me down the road.
Moon Cheese ? Well, it's also silly.
When you say it three times fast, it starts to come out as "Mikey Mikarudens Moonchies"
What are Moonchies ? Well, they're snacks that you get from a store that's not the closest to where you are because it's 2AM & nothing else is open.
So, Mikey Mikarudens Moon Cheese has turned into a store that's open 24 hours a day & has stuff that likely caters to stoners & the occasional midnight tampon shopper.
Well, this is supposed to be a funny company so tampons are deffinately out of the picture, you never get to see the women laughing about sending a guy to get tampons at midnight, so it's only natural that they should not be in the logo.
I need a list with 3 basic elements, the logo needs to be basic & 3 is a funny number.
1) Moon
2) Cheese
3) 24 hours
4) Mikey
5) Mikaruden
Mikaruden has potential, but it's such a long word.
Mikey, well it worked for Life cereal, but I think people could confuse the Mikeys & the makers of Life cereal might try to sue me for defamation of their Mikey character if anyone, ahem, ever catches on to the whole stoner catering service.
I hear someone asking "Wouldn't the cops shut down such a place ?" No, why do you think they hang out at doughnut places ? They know nothing else is open at such an hour, they don't like to work, they'd rather have the mouse come to them.
Ok, now, we're left with "24" "moon" & "cheese".
A big 24 carved out of a moon ? Hmmm, it's deffinately cheesy, make it a moon made of cheese & it sounds like a plan.
Hmmm, what font to use for the 24 ?
"A.C.M.E. Secret Agent" sounds good, anyone who's ever been on one of theese trips knows it's like being in a 007 movie trying to get to the store & back without getting pulled over.
Now for the cheese, what kind of cheese to use ?
Well, yellow is a funny color & I've seen yellow cheese on my nachos so yellow cheese it is.
How to make the cheese look like the moon AND cheese though ?
Aha ! It can be a big circle block of cheese with a telltale slice out of the corner that has craters like the moon on it.
Then again, I could use swiss cheese, & make the holes look like the 24.
No, better go with the yellow cheese, nachos, moonchies.
Ok, we are now at this.
Now that I look at it, it's the cheeziest thing I've ever seen.
The missing wedge is at the midnight-2AM place.
With the Big O, it kinda looks like a giant 024, that ought to look good in a rear-view mirror.
Hell, the crater marks even look like burnt cheezy poofs.
I tell you, if there's anyone driving at 12-2am looking for a store & they pass this logo up, they must be smoking crack.
There you have it, the process of comming up with a logo that's a contender for Cheeziest Of All Time for example sake.
Now I think I'll grab my Coat & skidaddle.

Strong with this one, the sudo is.