Going to be upfront, I am hoping to meet a woman here.
Quite self-explanatory since this is a dating site. We don't expect you to be here to play pool, haha. Delete it. Redundant.

Never had a relationship before.
Why not rephrase that into something like "Never had... as I'm looking for this special once in a lifetime woman! Yes, I'm serious about love!"
That way you turn the "never had..." into a positive thing.

Admittedly I spent a lot of my adult life depressed but recent accomplishments have helped me pushed past that.
If you've really dealt with it, I'd rephrase it. Details can come when you've actually met someone.
Why not make it something like "I've had some difficulties in life, but I've worked through it. Learnt a lot from it and now the only way is up!"
Another is to leave it out altogether...

I've been often told because I'm short, unattractive and don't make enough money I can't find a woman.
Delete that! You're here to 'sell' yourself and this isn't the way to go about it. Who cares what "they" told you? Many like to knock someone else to make themselves feel good.

Welp, can't do much about my height but I am doing something about the latter two.
Better to make that height part into something positive and delete the rest.
Many women in the US are really short too, I suppose that's the same in CA.

This could be an alternative if you do want to keep it in: "Maybe I'm not the tallest guy but I promise you I will help you get that jar from the top shelf!"
That way you address it, but in a very light-hearted way and turning it into something attractive at the same time, highlighting a great asset --> being helpful and attentive.

Mind you, it's not in me to cast blame or hold a grudge. Everyone has standards and I respect them. Umm...
Get rid of that.

I've always wanted to join a dance class with someone or do hobbies as a pair but beggers can't be choosers, I suppose.
Change it!!! This is the easiest to turn into a great line!
"I've always wanted.... as a pair. Wouldn't it be great if we could do that together?"

Or...

"My dream girl loves to take dance classes with me, and do some hobbies together as well."

AND get your spelling right ---> BEGGARS not BEGGERS.

Thanks for reading and I hope you all have a good day.
Change in something like:
"If I've piqued your interest and I haven't found you yet, by all means send me a message.
Who knows, we could be dancing together real soon!"


well said