Talking about government jobs, if you are resigning a government job and joining another job which is again a central government job, there wouldn't be any issue in that. Joining a higher grade pay job is what all humans desire for. And if you are getting one you should certainly go ahead with it.
For this, you need to have a few points clear in your mind.
First of all, you should have the idea that the next job you are going to join is not only having a higher pay but also a high reputation than the previous one. I mean to say clearly that you shouldn't leave an administrative job and go for a lecturership job just for an increased pay scale.
Secondly, you should know whether you may be able to adjust with the new job and other colleagues at this age of your life. You may find many individuals younger in age and senior in post. They might not treat you in a cultured manner. At such instances you need to be cool and patient. You must not stop working for the boss' s orders. If you can tolerate all this, you may go ahead.
Third, you should also focus on your family. The new job you are going to acquire must be in an area where your family can live with you easily. At this point of age you must be in need of your family later or sooner. No one thrives without family. We need them so think about them as well.
Last but not the least, don't resign till your selection and appointment or training letters are confirmed and received. Under some situations government may take time to give joining to novices. Once you receive the joining instructions you may proceed with resigning. However you may verbally tell your trusted boss about your selection taking him into confidence so that he can help you out if stuck which not usually happens in government jobs.
Government jobs have a security every time. So leaving one and joining the other isn't a typical task neither it is harming in any way. All you need to have is harmony with the new joining job. The only thing when you can be a little annoying is about the formalities of resigning and joining, which happens every time and you need to tackle them patiently.
All the best.
Let's enlighten paths with the ray of knowledge.