Do I go for assessment?

I think a diagnosis up is helpful in that it gives some clarity about the suspicions you have that you may be autistic. It might also be helpful for you in future if when using services  you might what to ask for reasonable adjustments because of being autistic. 
In terms of the cost of your Private Assessment - that’s a matter of what your income level is and how expensive this for you personally. It’s all relative and only you can make that judgement. 

I've decided to go ahead, it's worth exploring I think, and I've got savings.

I've decided to go ahead, it's worth exploring I think, and I've got savings.