Neither CSDP nor PE seems suitable to give you the career advance. However, there is a great option to pursue an advanced degree, gain more experience in bigger companies, study from up-to-date books relevant to your profession, join professional groups, and distinguish yourself through all these achievements combined.
The CSDP certification is intended for mid-career Software Engineers; however, you are a Computer Engineer which is a different discipline.
PE License for Computer Engineers
The PE License is available for Computer Engineers, but whether it applies to you depends on your state. Does the state regulate the use of the term "engineer" only to those who are licensed? If not, it won't distinguish you very well. Further, to explain licensing, it is only required on positions where public safety might be at risk, or health, environment, and similar. Such positions typically require employees and contractors to pass the PE exam prior to signing the contract.
If you are unaware of a particular company which pays you more and treats you better for passing the PE exam, I would say don't do it. Similarly, consider whether your state regulates the use of the term "engineer" only to licensed professionals. [If not, the PE exam may not be available in your state at all]. It is also important to bear in mind the PE Exam in Computer Engineering will require first passing the engineering fundamentals exam (FE) and your degree has to be ABET accredited, or it has to go through credentials evaluation.
A good starting point is to state clear goals, i.e. where you want to get. Then consider where you are now. Finally, think of different options how to get there.
One of the greatest opportunities is to pursue a relevant Master's Degree. It takes only one year (full-time) or 2 years while on job (part-time study). This typically accelerates your career and depending on how hard you work, you will grow that much.
One related option is to become an IEEE member and study materials relevant to your chosen career path.
This will only give you access to more resources. The studying is still up to you and hence a degree would be the most efficient solution, unless you are extremely efficient at self-study without any guidance and help, and see no problem subsequently proving and justifying your value to potential employers.
There is a rule of the thumb, i.e. research available careers, see the real demands of your desired position, compare with what you can offer now, and write down what you need to learn. Then see about where to learn it.