@Amuni50 I assume you are directing the "new way" question to me. :D
As far as I can tell, it only affects moves. When you use manage worlds to split a household or when you use the ask to join household option, you get the same double sided transfer window just like you did before except now there is an added section which allows you to transfer money between the two households. You just need to type in the amount and hit the transfer arrow. It can go either way. Really easy to use. It doesn't appear to affect anything when you make a new sim in CAS. They still get the same amount of money as they did before (20K for a single sim, etc.) I haven't tried the new CAS function, I think they called it story mode or something and that gives you differing amounts depending on what choices you choose. I saw the video when it was introduced but have never tried it. It was in the same update where they changed the main loading screen colors and the plumbob design. So someone else who has used it may be able to tell you more.
For your issue, there are a couple of ways to present it to your downloaders. I'd just use the cheats (freerealestate on) to get them into a house and then set their money amount with one of the money cheats (Kaching, Motherlode). The household money amount can be set through MCCC or the UI Cheats mods too if they have either of those . The other way that I saw in a post over at the main forum was before you try to put them in the world, load the downloaded sim into CAS and add a sim to the household, then delete the sim you just added and then save and the household gets the 20K when you go to place the sim into a house. I haven't tried it so I don't know if it works or not though and I may be not completely correct in how it's done. I suggest you give it try to see if it works for you.
Hope this helps.