Chris, Brightlingsea is a good place to start, leave about 40 mins before HW and head out,then take the ebb up the coast. I am guessing that you are in an 18 footer, so about 4 knots will see you round the corner and onto Pye End just before LW.
It does get quite shallow, but the channel buoys are easily followed into the backwaters, and then turn into the channel behind Stone Point and anchor in the fairway there. Its beautiful.
Peovided you test your holding well when you put the hook down, and its not blowing a hoolie at tide change, if you have good scope of chain and a decent anchor, you should have no worries (hahahaha).
If you are that worried, there are lots of swinging moorings, we picked one up for the weekend last year.

Have a great time of it!

You may well spot a gaggle of forumites up there, who are too lazy to go anywhere else.