Hello student,

After Degree completion in BDS,there are various job opportunities in government sector.
1.UPSC
After completing your graduation, you can apply for UPSC exams and Civil services exams to get Central government jobs.
But yes there is lot of hard work and dedication required in this field.
2.State PSC
i.e.State Public Service Commission.
This is the exam for state government jobs.you can go for this exam according to your choice
and interest in the field.
3.you can work as a dental specialist in government hospitals.
4.Railway dental doctor:here also you can apply.
5.Army dental corps: Dental specialist is recruited in this field.
6.Dental branch of Navy:Dental specialist is recruited in this field.
7.You can do job as a Lecturer,Asst. Professor, or professor in state government college or in central government college.

Well,if we see about veterinary graduates
There are State Governments offer posts of vety officers or vety surgeons.Here is also recruitment is done through State Public Service Commission.
Here is also some posts for central government jobs.And their recruitment is done through UPSC
Also as I said,For BDS
Here also You can do job as a Lecturer,Asst. Professor, or professor in state government college or in central government college.

So see,for all the above job opportunities I mentioned for BDS and for BVSc,  have their own eligibility criteria.So please consider this factor before choosing any course.
Career scope is really high for both the courses you mentioned in your question.
But yes it really needs lot of hard work too.

Hope this answer will help you
Good luck!!!