in your problem, obviously majority saying that there is to remedy to pixelated problem,
just a piece of advice darling, you must use a large or high resolution images to avoid further dissapointment to your work.
The OP hasn't responded to any of the comments. I wonder how he or she is doing?
I was also going to say try making the image larger with photoshop and change the resolution to 300 when you crate a new file also when shrinking it try using bilinear or other resampling
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Did you ever get your logo completed? We would love to see!
I would give you my advice, but it's been done. For any kind of logo work you need to create a vector file (AI, EPS, SVG).
My design skills leveled up once I harnessed the power of the pen tool. I first became familiar with Photoshop and was intimidated by Illustrator at first since there are so many varying options. If you design logos and custom graphics, it is something every good designer must master. Just take it one day at a time :)
Scalability - no matter what size you make it for web, print, or whatever the file maintains it's integrity from the smallest to the largest size possible.
Editable - When you have a vector file (or a smart object) you can easily make changes in the future.
Clean Design - Since vectors are drawn using mathematical equations rather than pixels, you will get a clean edge, every time.