A Bais-Din that encourages "Toi'anim".
A Bais Din that Does not allow "Toi'anim", but do allow lawyers members of the bar.
A Bais that charges by the hour or part thereof.
A bais Din that charges a flat fee, or does not charge at all.
A Bais Din that has a review process, where it sent to another outside, i.e. Eretz Yisroel Bais Din for review (We are not refereeing to a "Ni'talis Yu'dayim" Botei-Dinim"-
where one hand washes the other).
A Bais Din that does not allow for review and will not agree to a "Ba'meh-dan'tuni".
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In the USA, a Toen needs no credentials, just a shingle and "chutzpah", doesn't even have to know the code of Jewish law. Their motto is "if you can't convince them, just confuse them with …"
Most all American insist on using a Toen, because they bring the cases to the Botei Dinim, they draw out the hours, the unneeded multiple sessions.
And no Appeal process by another Bais Din nor a peer review.
These days you have to be wealthy to go to a Din Torah.
There are some reputable, qualified Botei Dinim that charge a minimum, e.g. $500.00 for a choshen Mishpat case, no "toe'anim", peer review by an Israeli Bais din or they'll give you "ba'meh-Dan'tuni".
viable options;
Shaar Hamishpat, Monsey, NY
Bais Din of America, NY, NY.
Be aware that all of the Toen driven Bais Dins will say that these Botei Din are not an acceptable Bais Din. (all in the spirit of ingrained corruption). Therefore when writing any contract, specify that the arbitration must be only by one of the above listed Botei-Dinim.