With a direct investment in mutual funds, how do I get rid of my existing distributor/MF organisation without disturbing my investments?

It is very easy to switch to direct mutual funds. There will be a switch transaction involved which will move the fund from a regular plan to direct plan. This will save you upto 40% more in the long run as commissions are avoided.

So you can continue in the same fund, only the plan will shift from regular to direct. To start a switch, you can click here.