Hi B, There are a bunch of No Load mutual funds around still. I've had personal experience with Am. Century Investors which was favorable. They have a "brokerage" end of the business now so you can trade individual stocks with them as well as own their various mutual fund offerings.
Invesco also has lots of No Load funds. You can be more "sector specific" with some of their funds. I don't know if they have a brokerage aspect of their business or not.
Fidelity has both brokerage and a zillion fund choices. However, their funds are almost all Load or commissionable in some fashion.
I'm currently using TD Waterhouse as my broker and own six Exchange Traded Funds (ETFs) as well as many individual company stocks. The ETFs trade in the same fashion as regular company stocks, so you can trade during normal business hours any day the market is open. You'll pay a commission just like with regular stocks as well.
Best regards, Tom