I was on Match, and used to get a few responses, and even one short lived relationship. Since my accident I haven't used it again as for two years I didn't receive a single response, despite me initiating contact with others. I wouldn't worry about being carless. If a woman is going to judge you negatively because you use a bicycle for transport, she's not really a suitable match for you. That is the idea of going on dates, to find out about the other person, whether there is likely to be any connection, or conversely, any red flags. Initially it should be treated as meeting up with someone to see how you both get on, and that's it. Things like meeting family don't usually happen until you have both made the decision to be exclusive, which means you have both decided to take things to the next level and are no longer dating others. If she cuts contact, it means she's not interested, so move on (people do this all the time, yes it is wussy not to be straight with people but that is how it is, and you can't control other people). Don't get emotionally attached right from the start. Bear in mind that multi-dating is acceptable today, and when you go on a date, the woman could easily be dating five or six others, this is how it works, you have to put yourself out there to increase the chance of finding a partner.
If your experience is anything like mine, expect it to take a long time. The odds of connecting with someone on a first date are low, so you will go down a lot of dead ends. Ultimately you have to keep putting the effort in and trying if it is something you really want. If you sling enough mud at the wall some of it will stick. If your self esteem takes a hammering, remember that you have been married before, so one woman has previously deemed you suitable for a committed relationship, so there are bound to be others out there who will think the same.