Some banks don't have a minimum sum to start. Here's more info
from my bank:
Money Market Savings Account (MMSA)
With our MMSA, you earn more than with a share savings account, but
the number of transactions per month is limited. The MMSA requires
a minimum opening deposit of $2,500.
You can access your account with special MMSA checks, online
access, ATMs or phone. You can make no more than six total
withdrawals per calendar month, and only three can be by
check.
Tiered rates are based on money market environment and may change
weekly. Rate applies to the entire balance, not just the amount
over the tier threshold.
Dividends are compounded and paid monthly.
There is no set term.
What is a Money Market Savings Account?
An account with higher earnings potential than a share savings
account, but more limited access due to federal regulations.
What are the limits on how many withdrawals you can make per
month?
You can write only three MMSA checks per month, or make six
withdrawals using any combination of three or fewer checks, the
Automated Clearing House (electronic debits), phone, fax, Internet
or automatic transfers. There are no monthly limits on the number
of transfers or withdrawals made in person at a branch, through an
ATM or by mail. Note: checks are included in monthly totals based
on the date they are paid, not on the date written.