Hi wotnot
Congratulations on surviving the PIP ordeal and winning!! Well done.
As for the ESA, well, if you are applying for it, you will have to go through the process; fill in the form using the guides on the website, noting that the criteria are very different and need a different approach; if you don't feel that you fit in to any particular category 'nicely' then explain that you have different issues, and note your differences in the spaces available.
Collect all your supportive evidence, and yes, send the tribunals findings as well - it certainly won't do any harm. Whether the ESA assessor and decision maker actually take notice of the award is another matter - they don't HAVE to do so.
I appreciate it is very stressful; but after managing to get through - and win - a tribunal hearing, I'm sure you'll manage! PIP IS much more stringent - take heart from that.
Good luck.
I