Me, me! Was in a cohabiting LTR from 25 to 30, got dumped unceremoniously not long after my 30th birthday. Rebounded almost instantly into a toxic relationship with a narcissistic Love Rat, emotional nightmare but awesome sex..
Alongside Toxic Love Rat internet dated like mad until I was about 35, dated some utterly awful men and got heartily sick of reliving the same first date over and over again. Found speed dating more fun/better use of time but didn't find anyone long term from it. Did manage to get fit in all the spare time I had without a boyfriend though.
Then got transferred to Asia with my job, arrived the day before my 36th birthday and was pretty sure I was destined to be single forever, since all the single men here had lots of pretty young Asian girls to choose from. Utter drought for a year then met DH (also British) at a beer festival and not only was he single with no baggage we fancied each other. Got married in June last year - he is 37 and I am 41 now. We're ttc, hasn't happened quickly and in an ideal world would want to have started sooner but I think it will still happen for us. We're very happy.
My suggestion would be make radical change in your life such as moving cities or jobs (continents like I did may be a bit extreme!) and throw yourself into non dating social activities. My route to DH was via a pub quiz, then a dragon boating team, then a scuba course, each new activity being suggested by someone from the last one and bringing with it new friends until the mutual one of DH and me who invited us both to the beer festival.
I enjoyed a book called 'How to find a husband after 35, what I learned at Harvard Business School" by Rachel Green something or other - sure Amazon will throw it up - it's a bit American but helps give focus. Or her other book "Have him at hello" if you're not getting anywhere on dates.
I know how it feels to be in your position, I had some horrendous periods of real despair. But it's not over yet, good luck!