In an enhanced disclosure as needed for care work, all convictions show up even spent ones. So the conviction will show. If you get the job or not is down to the person or company offering it. As it was a long time ago they may still be willing to offer you a job.The best thing is to be honest about it and explain that it was a long time back and you are a different person now.
Do not try to pretend that it never happened though.
You can get a job, but it is down to you to convince them that you have changed and it will never happen again.